# Present ages of X and Y are in the ratio 5 : 6 respectively. Seven years hence this ratio will become 6 : 7 respectively. What is X’s present age in years ?

$\par&space;Let&space;the&space;present&space;ages&space;of&space;X&space;and&space;Y&space;be&space;5x&space;years&space;and&space;6x&space;years&space;respectively.$

$\frac{5x&space;+&space;7}{6x&space;+&space;7}&space;=&space;\frac{6}{7}$

$7(5x&space;+&space;7)&space;=&space;6(6x&space;+&space;7)$

$x&space;=&space;7$

$\par&space;X's&space;present&space;age&space;=&space;5x&space;=&space;35&space;years.$