Question 50
The ratio of the present age of a man and his wife is 4:3 and 4 years hence the ratio of their ages will be 9:7 If the ratio of their ages at the time of their marriage was 13:9, how many years ago were they married ?
Solution
Let the ages today be 4x and 3x. Ages four years from now are 4x + 4 and 3x + 4
But 4x+4:3x+4 = 9:7
So, x = 8
So, their current ages = 32 and 24
Let them be married for x years
Age at marriage = 32 - x and 24 - x
But 32 - x : 24 - x = 13: 9
So x = 6 years.
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