2021 · Q34
The present age of a father is equal to sum of the ages of his 4 children. After ten years the sum of the ages of the children will be 1.6 times the age of their father. What is the present age of father ?
Elementary MathematicsAlgebra
- A36 years
- B40 years
- C42 years
- D45 years
Explanation
Let the father's age be F and the sum of the children's ages be S, with F = S. After ten years the children sum to S + 40 and the father is F + 10, so S + 40 = 1.6(F + 10). Substituting S = F: F + 40 = 1.6F + 16, giving 0.6F = 24 and F = 40. This is option (b).