Question

Ex. 1. The ratio of the ages of Ram and ago was 1:3. The ratio of their age five years hence will be 2:3. Then the ratio of their present age is SSC CGL (Tier-I) 2014 (1) 1:2 (2) 3:5 (3) 3:4 (4) 2:5

11th - 12th Class

Maths

Solution

109

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Sol. (2) Let the age of Ram and Rahim 10 years ago be ( x ) and ( 3 x ) years respectively. After 5 years from now, [ frac{x+15}{3 x+15}=frac{2}{3} ] ( Rightarrow 6 x+30=3 x+45 ) ( Rightarrow 3 x=45-30=15 ) ( Rightarrow quad x=5 ) ( therefore ) Ratio of their present age ( =(x+10):(3 x+10) ) ( =15: 25=3: 5 )