The present age of ramesh is 1/3 of his fathers age. After 9 years the

1.	The present age of ramesh is 1/3 of his fathers age. After 9 years the age of ramesh will be 5/12 of his fathers age . Find present age of both .
Answer» ANSWER : Ramesh's present age is 21 years and his FATHER's present age is 63 years. EXPLANATION : GIVEN :- The present age of ramesh is 1/3 of his FATHERS age. After 9 years the age of ramesh will be 5/12 of his fathers age . TO FIND :- Present age of both. SOLUTION : Consider, Father's present age = x years. Ramesh's present age = y years. According to the question, $\sf{y=\frac{1}{3}x}$ $\implies\sf{y=\frac{x}{3}}$ $\implies\sf{x=3y...........(i)}$ ★ After 9 years , Father's age = ( x +9) years. Ramesh's age = (y+9) years. According to the question, $\sf{y+9 =\frac{5}{12}(x+9)}$ $\implies\sf{y+9=\frac{5(x+9)}{12}}$ $\implies\sf{y+9=\frac{5(3y+9)}{12}}$ $\implies\sf{12y+108=15y+45}$ $\implies\sf{12y-15y=45-108}$ $\implies\sf{-3y=-63}$ $\implies\sf{y=<klux>21</klux>}$ Ramesh's present age = 21 years. † PUTTING y = 21 in eq(i) † x = 3y → x = 3×21 → x = 63 Father's present age = 63 years. ________________________________