After 5 years the ratio between ages of A and B will be 5 8 and after 8 years the sum of ages will b...........

Quantitative Aptitude(IBPS CL) Problems based on Ages

After 5 years, the ratio between ages of A and B will be 5 : 8 and after 8 years, the sum of ages will be 71 years. Find the present age of B.

This questions was previously asked in

IBPS Clerk (Prelims)

33 years

32 years

28 years

40 years

35 years

- Let's assume the present ages of A and B are \(a\) and \(b\) respectively.

- After 5 years, their ages will be \(a + 5\) and \(b + 5\).

- Given that the ratio is 5:8, we have the equation: \((a + 5)/(b + 5) = 5/8\).

- Simplify it to get: \(8(a + 5) = 5(b + 5)\).

- After 8 years, ages will be \(a + 8\) and \(b + 8\).

- Their sum is given as 71: \((a + 8) + (b + 8) = 71\).

- Simplify to: \(a + b = 55\).

- Solve these equations simultaneously:

- From the first equation: \(8a + 40 = 5b + 25\).

- Simplify to: \(8a - 5b = -15\).

- Solve with \(a + b = 55\) and \(8a - 5b = -15\).

- The calculated value for \(b\) is 35 years.

- Therefore, the present age of B is 35 years.

- Option: 5 (35 years) is correct.

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