Question

Three years ago, the ages of P and Q was 2: 3. Seven years hence, the ages of P and Q is 4: 5. Find the sum of the present age of P and Q?

• A. 27 years
• B. 31 years
• C. 33 years
• D. 35 years

Answer 1

Answer:

B. 31 years

Three years ago, the ages of P and Q = 2: 3(2x, 3x) Seven years hence, the ages of P and Q = 4: 5 (2x + 10)/(3x + 10) = (4/5) 10x + 50 = 12x + 40 10 = 2x x = 5 Present ages are, P = 2x + 3 = 13 Q = 3x + 3 = 18 Sum of Present age of P and Q = 13 + 18 = 31 years