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# The ratio of Mary's age to Alice's age is 3:5. Alice is 30 years old.

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Math Expert
Joined: 02 Sep 2009
Posts: 58396
The ratio of Mary's age to Alice's age is 3:5. Alice is 30 years old.  [#permalink]

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25 Mar 2019, 00:23
00:00

Difficulty:

5% (low)

Question Stats:

85% (00:28) correct 15% (00:40) wrong based on 48 sessions

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The ratio of Mary's age to Alice's age is 3:5. Alice is 30 years old. How old is Mary?

(A) 15
(B) 18
(C) 20
(D) 24
(E) 50

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Re: The ratio of Mary's age to Alice's age is 3:5. Alice is 30 years old.  [#permalink]

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25 Mar 2019, 02:28
Bunuel wrote:
The ratio of Mary's age to Alice's age is 3:5. Alice is 30 years old. How old is Mary?

(A) 15
(B) 18
(C) 20
(D) 24
(E) 50

M/A = 3/5 = x/30
solve for x
x= 18
IMO B
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Re: The ratio of Mary's age to Alice's age is 3:5. Alice is 30 years old.  [#permalink]

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27 Mar 2019, 18:57
Bunuel wrote:
The ratio of Mary's age to Alice's age is 3:5. Alice is 30 years old. How old is Mary?

(A) 15
(B) 18
(C) 20
(D) 24
(E) 50

We can create the ratio Mary : Alice = 3x : 5x and create the equation:

5x = 30

x = 6

So Mary is 3(6) = 18.

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Re: The ratio of Mary's age to Alice's age is 3:5. Alice is 30 years old.   [#permalink] 27 Mar 2019, 18:57
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