Five years ago, A was thrice as old as B and ten years later, A shall be twice as old as B. What is the present age of A.
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Let the present age of A be x and B be y.
Given that 5 years ago age of A was thrice the age of B.
That is, x - 5 = 3 (y - 5)
Also after ten years age of A is twice the age of B.
That is, x + 10 = 2 ( y + 10 )
By solving two equations we get,
- 15 = y - 35
y = -15 + 35 = 20
Substituting y = 20 in any of the equations we get,
x - 5 = 3 ( 20 - 5 )
x - 5 = 3 * 15
x - 5 = 45
x = 45 + 5 = 50
Therefore the present age of A is 50 years.
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50 years
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