Two years ago, the ratio of ages of Naresh and Suresh was 3:2. If one year hence, the ratio of their ages will be 7:5, what is the sum of their present ages?
Answer & explanation
Correct answer: option 3
Let two years ago, the ages of Naresh and Suresh was 3X and 2X.
So one year hence, the ages of Naresh and Suresh would be 3X+3 and 2X+3 respectively.
As per question;
\(\frac{\text{3 x + 3}}{\text{2 x + 3}}\) = \(\frac{7 }{5 }\)
15X + 15= 14X + 21
X = 6
Present age of Naresh = 3 x 6 + 2 = 20 years
Present age of Suresh = 2 x 6 + 2 = 14 years
∴Sum of their present ages = 20 + 14 = 34 years