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The sum of the present ages of a father and his son is 126 years. 8 years ago their respective ages were in the ratio of 7 : 4. After 7 years what will be the ratio of ages of father and son?
- A23 : 19
- B17 : 11
- C27 : 20
- D34 : 23
Answer not set
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CCommunity
? 8 year ago the ratio of age of father and his son was 7 : 4
Let the father and son age be 7x and 4x respectivily
Present age of father and son is (7x + 8) and (4x + 8) respectivily
According to question,
(7x + 8) + (4x + 8) = 126
⇒ 11x + 16 = 126
⇒ x = 10
Present age of father = (7x + 8) = 78 years and present age of son = (4x + 8) = 48 years
After 7 years, father = 78 + 7 = 85 years and son = 48 + 7 = 55 years
∴ After 7 years the ratio of ages of father and son = 85 : 55 = 17 : 11
Let the father and son age be 7x and 4x respectivily
Present age of father and son is (7x + 8) and (4x + 8) respectivily
According to question,
(7x + 8) + (4x + 8) = 126
⇒ 11x + 16 = 126
⇒ x = 10
Present age of father = (7x + 8) = 78 years and present age of son = (4x + 8) = 48 years
After 7 years, father = 78 + 7 = 85 years and son = 48 + 7 = 55 years
∴ After 7 years the ratio of ages of father and son = 85 : 55 = 17 : 11