The ratio of the ages of man and his wife is 4:3. After 4 years, the ration will be 9:7. If at the time of marriage, the ratio was 5:3, how many years ago were they married?

• 12

• 24

• 5

• 8

A.

12

Suppose present age of man = 4x years
Present age of his wife = 3x years
After 4 years
4x + 4/3x + 4 = 9/7
= 28x + 28 = 27x + 36
= 28x - 27x = 36 - 28
therefore, x = 8
Present age of man = 4x
= 4 x 8 = 32 years
Present age of his wife = 3x
= 3 x 8 = 24

Suppose, they were married y years ago
According to question,
32-y/24-y = 5/3
= 96 - 3y = 120-5y
= 5y - 3y = 120-96
= 2y = 24
y = 12