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# Eleven years ago Tina was half as old as Ike will be in 4 years. If Ik

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Eleven years ago Tina was half as old as Ike will be in 4 years. If Ik  [#permalink]

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22 Sep 2016, 04:06
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Difficulty:

25% (medium)

Question Stats:

79% (01:46) correct 21% (02:16) wrong based on 95 sessions

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Eleven years ago Tina was half as old as Ike will be in 4 years. If Ike is m years old now, how old is Tina now, in terms of m?

A. 4m - 11
B. m/2 + 13
C. 1/(2m - 22)
D. (4m + 11)/2
E. 2m-7

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Re: Eleven years ago Tina was half as old as Ike will be in 4 years. If Ik  [#permalink]

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22 Sep 2016, 05:24
Let Tina's age be T, so the equation would be.

T-11 = (m+4)/2

Solving for T gives T = (m+26)/2 = m/2 + 13

So IMHO option B.
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Re: Eleven years ago Tina was half as old as Ike will be in 4 years. If Ik  [#permalink]

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22 Sep 2016, 07:16
Quote:
Eleven years ago Tina was half as old as Ike will be in 4 years. If Ike is m years old now, how old is Tina now, in terms of m?

Ike's current age = m
Ike's age after 4 years = m + 4
Tina age 11 years ago =$$\frac{(m+4)}{2}$$
Tina's current age = $$\frac{(m+4)}{2}$$ + 11 = $$\frac{(m+4+22)}{2}$$ = $$\frac{m}{2} + 13$$

Ans B
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Re: Eleven years ago Tina was half as old as Ike will be in 4 years. If Ik  [#permalink]

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26 Sep 2016, 20:11
Let current age of Tina and Ike be t and i respectively

t-11 = 1/2(m+4) => 2t-22 = m+4

t = (m+26)/2 => m/2 +13 option B
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Re: Eleven years ago Tina was half as old as Ike will be in 4 years. If Ik  [#permalink]

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12 Oct 2016, 01:50
Can anybody tells which method is better to use here: plugging in or Algebra?
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Re: Eleven years ago Tina was half as old as Ike will be in 4 years. If Ik  [#permalink]

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12 Oct 2016, 02:26
Bunuel wrote:
Eleven years ago Tina was half as old as Ike will be in 4 years. If Ike is m years old now, how old is Tina now, in terms of m?

A. 4m - 11
B. m/2 + 13
C. 1/(2m - 22)
D. (4m + 11)/2
E. 2m-7

Present ages of Tina is " t "
Present ages of Ike is " m "
Quote:
Eleven years ago Tina was half as old as Ike will be in 4 years.

Tinas age 11 years ago was = t - 11
Ikes age 4 years hence = m + 4

According to the question -> $$(t - 11) = \frac{( m + 4)}{2}$$

Or, $$2t - 22 = m + 4$$

Or, $$2t - 26 = m$$

Or, $$t = \frac{(m - 26)}{2}$$

Or, $$t = \frac{m}{2} - 13$$

SO, Correct answer will be (B) $$\frac{m}{2} - 13$$

DmitryP wrote:
Can anybody tells which method is better to use here: plugging in or Algebra?

IMHO it's better to do it algebraically because check the Question , it asks us to " Express age of Tina in terms of m "...

Plugging in some value is undoubtedly good , but you will have to -

1. Plug in some value
2. Test it in the Question
3. Again work out and check the value in the question

To add more it , will be difficult to plug in the values for such question...

Hope this helps.
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Re: Eleven years ago Tina was half as old as Ike will be in 4 years. If Ik  [#permalink]

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01 Apr 2017, 23:34
DmitryP wrote:
Can anybody tells which method is better to use here: plugging in or Algebra?

In this case, algebra method is better because the end output is expected in equations. If we were given that m= 19 for example, then we can plug in the numbers to get the final answer.
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Re: Eleven years ago Tina was half as old as Ike will be in 4 years. If Ik  [#permalink]

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02 Mar 2019, 08:13
Bunuel wrote:
Eleven years ago Tina was half as old as Ike will be in 4 years. If Ike is m years old now, how old is Tina now, in terms of m?

A. 4m - 11
B. m/2 + 13
C. 1/(2m - 22)
D. (4m + 11)/2
E. 2m-7

Let’s let T = Tina’s age now. Thus, eleven years ago, Tina was (T - 11) years old. In 4 years, Ike will be (m + 4) years old. We can create the equation:

T - 11 = 1/2(m + 4)

2T - 22 = m + 4

2T = m + 26

T = m/2 + 13

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Re: Eleven years ago Tina was half as old as Ike will be in 4 years. If Ik  [#permalink]

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06 Jan 2020, 05:24
Top Contributor
Bunuel wrote:
Eleven years ago Tina was half as old as Ike will be in 4 years. If Ike is m years old now, how old is Tina now, in terms of m?

A. 4m - 11
B. m/2 + 13
C. 1/(2m - 22)
D. (4m + 11)/2
E. 2m-7

Given: m = Ike's PRESENT age
So, m + 4 = Ike's age IN 4 YEARS
So, (1/2)(m + 4) = Tina's age 11 YEARS AGO
So, (1/2)(m + 4) + 11 = Tina's PRESENT age

The answer does not appear among the answer choices. So, we'll need to SIMPLIFY the expression
Take: (1/2)(m + 4) + 11
Expand: m/2 + 2 + 11
Simplify: m/2 + 13

Cheers,
Brent
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Re: Eleven years ago Tina was half as old as Ike will be in 4 years. If Ik   [#permalink] 06 Jan 2020, 05:24
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