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scraby07
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Liam's age is 5 years more than twice Gita's age. Zoe's age is 13 year Updated on: 29 Jun 2017, 02:15
Originally posted by scraby07 on 01 Jan 2014, 08:46.
Last edited by Bunuel on 29 Jun 2017, 02:15, edited 1 time in total.
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79% (01:51) correct 21% (02:01) wrong based on 557 sessions

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Liam's age is 5 years more than twice Gita's age. Zoe's age is 13 years less than 10 times Gita's age. If Zoe is 3 times as old as Liam, how old is Liam?

A. 7
B. 9
C. 12
D. 14
E. 19
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E
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Liam's age is 5 years more than twice Gita's age. Zoe's age is 13 year 01 Jan 2014, 08:50
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A pretty straight question

given l = 2g+5
z = 10g-13
z=3l

from z=3l => 10g-13 = 6g+15
g = 7
l= 2g+5 = 19
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Liam's age is 5 years more than twice Gita's age. Zoe's age is 13 year 02 Jan 2014, 05:42
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scraby07
Liam's age is 5 years more than twice Gita's age. Zoe's age is 13 years less than 10 times Gita's age. If Zoe is 3 times as old as Liam, how old is Liam?

Answer:
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19
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Similar "age" problems to practice:
today-rose-is-twice-as-old-as-sam-and-sam-is-3-years-younger-131477.html
jack-is-now-14-years-older-than-bill-if-in-10-years-jack-144435.html
age-problem-m03q13-74810.html
if-father-s-age-is-1-less-than-twice-the-son-s-age-what-is-126832.html
john-is-20-years-older-than-brian-12-years-ago-john-was-132135.html
8-years-ago-george-was-half-as-old-as-sarah-sarah-is-now-132076.html
in-ten-years-david-will-be-four-times-as-old-as-aaron-twen-104243.html
roy-is-now-4-years-older-than-erik-and-half-of-that-amount-90386.html
three-years-from-now-dathan-will-be-three-times-as-old-as-e-162041.html
if-mario-was-32-years-old-8-years-ago-how-old-was-he-x-year-164898.html

Hope this helps.

P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Thank you.
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Liam's age is 5 years more than twice Gita's age. Zoe's age is 13 year 26 Jun 2017, 06:30
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scraby07
Liam's age is 5 years more than twice Gita's age. Zoe's age is 13 years less than 10 times Gita's age. If Zoe is 3 times as old as Liam, how old is Liam?

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L = 2G + 5

Z = 10G - 13

Z = 3L

3L = 10G - 13

3 (2G + 5) = 10G - 13

6G + 15 = 10G - 13

4G = 28

G = 7

L = 2G + 5

L = 2 * 7 + 5

L = 14 + 5

L = 19 Years
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Liam's age is 5 years more than twice Gita's age. Zoe's age is 13 year 26 Jun 2017, 07:05
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scraby07
Liam's age is 5 years more than twice Gita's age. Zoe's age is 13 years less than 10 times Gita's age. If Zoe is 3 times as old as Liam, how old is Liam?

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Let the ages of Liam, Gita and Zoe be L,G and Z respectively

Now,
\(L=2G+5\) => \(G=\frac{(L-5)}{2}\)(i)
\(Z=10G-13\)...(ii)
\(Z=3L\)...(iii)

Substituting the values Z and G in terms of L in equation (ii), we get
\(3L=10\frac{(L-5)}{2}-13\)
\(3L=5(L-5)-13\)
\(3L=5L-25-13=5L-38\)
\(2L=38\)
\(L=19\)
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Liam's age is 5 years more than twice Gita's age. Zoe's age is 13 year 27 Jun 2017, 01:00
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scraby07
Liam's age is 5 years more than twice Gita's age. Zoe's age is 13 years less than 10 times Gita's age. If Zoe is 3 times as old as Liam, how old is Liam?

Answer:
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Let Liam's age be \(= L\)

Gita's age be \(= G\)

Zoe's age be \(= Z\)

\(L = 2G + 5\) ----------- (i)

\(Z = 10G - 13\) --------- (ii)

\(Z = 3L\) ----------------- (iii)

Equating (iii) and (ii), we get;

\(3L = 10G - 13\)

Substituting value of \(L\) from (i), we get;

\(3 (2G + 5) = 10G - 13\)

\(6G + 15 = 10G - 13\)

\(10G - 6G = 15 + 13\)

\(4G = 28\)

\(G = 7\) . Therefore Gita's age is \(7\) years.

Liam's age \(= 2G + 5 = 2 (7) + 5 = 14 + 5 = 19\) years...
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Liam's age is 5 years more than twice Gita's age. Zoe's age is 13 year 28 Jun 2017, 17:00
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scraby07
Liam's age is 5 years more than twice Gita's age. Zoe's age is 13 years less than 10 times Gita's age. If Zoe is 3 times as old as Liam, how old is Liam?

Answer:
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We can let L = Liam’s current age, G = Gita’s current age, and Z = Zoe’s current age.

Since Liam's age is 5 years more than twice Gita's age:

L = 5 + 2G

Since Zoe's age is 13 years less than 10 times Gita's age:

Z = 10G - 13

Since Zoe is 3 times as old as Liam:

Z = 3L

Since Z = 3L, we can substitute 3L for Z in the equation Z = 10G - 13:

3L = 10G - 13

Since L = 5 + 2G, we can substitute 5 + 2G for L in the equation 3L = 10G - 13:

3(5 + 2G) = 10G - 13

15 + 6G = 10G - 13

28 = 4G

7 = G

Thus, L = 5 + 2(7) = 5 + 14 = 19.
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Liam's age is 5 years more than twice Gita's age. Zoe's age is 13 year 29 Jun 2017, 01:01
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scraby07
Liam's age is 5 years more than twice Gita's age. Zoe's age is 13 years less than 10 times Gita's age. If Zoe is 3 times as old as Liam, how old is Liam?

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Bunuel - Can we add options to this question? Just to ensure we are making the questions to GMAT type and we will be able to use Timer as well.
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Liam's age is 5 years more than twice Gita's age. Zoe's age is 13 year 29 Jun 2017, 02:15
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scraby07
Liam's age is 5 years more than twice Gita's age. Zoe's age is 13 years less than 10 times Gita's age. If Zoe is 3 times as old as Liam, how old is Liam?

Answer:
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Bunuel - Can we add options to this question? Just to ensure we are making the questions to GMAT type and we will be able to use Timer as well.
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Done. Thank you for the suggestion.
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Liam's age is 5 years more than twice Gita's age. Zoe's age is 13 year 22 Mar 2024, 09:41
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