The ratio of the present age of a man and his wife is 6 : 5. 5 years after the ratio of their ages will be 7:6 . If the ratio of their ages at the time of their marriage was 5 : 4, how many years ago were they married ?
The ratio of the present age of a man and his wife is 6 : 5. 5 years after the ratio of their ages will be 7:6 . If the ratio of their ages at the time of their marriage was 5 : 4, how many years ago were they married ?
1). 4
2). 7
3). 5
4). 9
1 answers
Given, ratio of the present age of a man and his wife is 6 : 5.
Let the present age of man and wife be 6a and 5a respectively.
Given, 5 years after the ratio of their ages will be 7:6.
$(\therefore \frac{{6a + 5}}{{5a + 5}} = \frac{7}{6})$
⇒ 36a + 30 = 35a + 35
⇒ a = 5
∴ man’s age = 30 and woman’s age = 25
Let they were married ‘b’ years ago.
Given, ratio of their ages at the time of their marriage was 5 : 4.
$(\therefore \frac{{30 - b}}{{25 - b}} = \frac{5}{4})$
⇒ 120 – 4b = 125 – 5b
⇒ 5 = bOther Questions
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