Suneel’s age after six years will be three-seventh of his father’s age. Ten years ago, the ratio of their ages was 1 : 5. What is Suneel father’s age at present ?

Let the ages of Suneel and his father 10 years ago be $x$ and 5$x$ years respectively.

Suneel’s age after 6 years = $(x+10)$ + 6 = $(x+16)$ years

Father’s age after 6 years = $(5x+10)$ + 6 = $(5x+16)$ years

$(x + 16)$ = $\frac{3}{7}(5x + 16)$

7$(x + 16)$ = 3$(5x + 16)$

7$x$ + 112 = 15$x$ + 48

8$x$ = 64

$x$= 8

Hence, Suneel father’s present age = $(5x+10)$ = 50 years

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