Ten years ago mohan was thrice as old as ram was, but 10 years hence h

1.	Ten years ago mohan was thrice as old as ram was, but 10 years hence he will be only twice as old. find mohan''s present age.
Answer» $\underline {\blue { At \: present : }}$ $Age \: of \: Mohan = x \: years$ $Age \: of \:Ram = y \: years$ $\underline {\pink { 10 \: years \:ago : }}$ $Age \: of \: Mohan = (x - 10) \: years$ $Age \: of \:Ram = ( y - 10 )\: years$ /* According to the PROBLEM GIVEN / $Mohan's \:age = 3 \times ( Ram's \: age )$ $\implies x - 10 = 3(y-10)$ $\implies x = 3y- <klux>30</klux> + 10$ $\implies x = 3y- 20 \: ---(1)$ $\underline {\orange { After \:10 \: years : }}$ $Age \: of \: Mohan = (x + 10) \: years$ $Age \: of \:Ram = ( y + 10 )\: years$ / According to the problem given / $Mohan's \:age = <klux>2</klux> \times ( Ram's \: age )$ $\implies x + 10 = 2(y+10)$ $\implies x = 2y+ 20 - 10$ $\implies x = 2y + 10 \: ---(2)$ / From (1) and (2), we GET / $3y - 20 = 2y + 10$ $\implies 3y - 2y = 20 + 10$ $\implies y = 30$ / Put y = 30 in equation (1) , we get */ $x = 3 \times 30 - 20$ $\implies x = 90 - 20$ $\implies x = 70$ Therefore., $\red { Mohan's \: present \:age } \green {= 70 \: years }$ •••♪