Question
The present age ratio of A to B is 4:5. After 8 years, the
ratio of A’s age to P’s age will be 8:13. Additionally, the total of A’s, B’s, and P’s ages four years from now will be 110 years. What is the current age of P?Solution
ATQ,
Let the present age of A and B be 4x and 5x respectively.
And the present age of P = (4x + 8) * 13/8 – 8 = (52x + 104)/8 – 8 = (52x + 40)/8
4x + 5x + (52x + 40)/8 = 110 – 4 * 3
32x + 40x + 52x = 98 * 8 – 40
124x = 744
x = 6
The present age of P = (52 * 6 + 40)/8 = 352/8 = 44 years
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