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The ratio of current ages of a mother and her son is 6:1. Five years

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The ratio of current ages of a mother and her son is 6:1. Five years  [#permalink]

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New post 17 Sep 2018, 01:04
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Question Stats:

84% (01:06) correct 16% (01:59) wrong based on 45 sessions

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The ratio of current ages of a mother and her son is 6:1. Five years from now, the ratio of the ages will be 7:2. what was the age of the mother, when her son was born?


(A) 21

(B) 23

(C) 25

(D) 27

(E) 30

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Re: The ratio of current ages of a mother and her son is 6:1. Five years  [#permalink]

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New post 17 Sep 2018, 01:52
6x+5/ 1x+5 = 7/2;
=> 12x+10 = 7x+35; 5x=25; x=5

Going back to the first ratio (6x/1x) we now have 30/5, therefore she was 25 when he was born (30-5=25).
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Re: The ratio of current ages of a mother and her son is 6:1. Five years  [#permalink]

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New post 17 Sep 2018, 01:56
Bunuel wrote:
The ratio of current ages of a mother and her son is 6:1. Five years from now, the ratio of the ages will be 7:2. what was the age of the mother, when her son was born?


(A) 21

(B) 23

(C) 25

(D) 27

(E) 30


Current ratio of ages - Mother:Son = 6:1. 5 years later, the ratio becomes 7:2

The equation can be written as \(\frac{6x + 5}{x + 5} = \frac{7}{2}\) -> \(12x + 10 = 7x + 35\).

Solving for \(x\), \(x = \frac{25}{5} = 5\). Current age of mom and son are 6x = 30 and x = 5.

Therefore, the age of the mother when the son was born is 25(Option C)
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Re: The ratio of current ages of a mother and her son is 6:1. Five years &nbs [#permalink] 17 Sep 2018, 01:56
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