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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?
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?
1). 23 : 19
2). 17 : 11
3). 27 : 20
4). 34 : 23
1). 23 : 19
2). 17 : 11
3). 27 : 20
4). 34 : 23
This Question has 1 answers.
8 year ago the ratio of age of father and his son was $7 : 4$
Let the father and son age be $7x$ and $4x$ respectively
Present age of father and son is $(7x + 8)$ and $(4x + 8)$ respectively
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 $= 85 : 55 = 17 : 11$Similar Questions
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