# 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 ?

$\par&space;Let&space;the&space;ages&space;of&space;Suneel&space;and&space;his&space;father&space;10&space;years&space;ago&space;be&space;x&space;and&space;5x&space;years&space;respectively.$

$\par&space;Suneel's&space;age&space;after&space;6&space;years&space;=&space;(x&space;+&space;10)&space;+&space;6&space;=&space;(x&space;+&space;16)&space;years$

$\par&space;Father's&space;age&space;after&space;6&space;years&space;=&space;(5x&space;+&space;10)&space;+&space;6&space;=&space;(5x&space;+&space;16)&space;years$

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

$7(x&space;+&space;16)&space;=&space;3(5x&space;+&space;16)$

$7x&space;+&space;112&space;=&space;15x&space;+&space;48$

$8x&space;=&space;64$

$x&space;=&space;8$

$\par&space;Hence,&space;Suneel&space;father's&space;present&space;age&space;=&space;(5x&space;+&space;10)&space;=&space;50&space;years.$