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Sumit is 3 times as old as his son. Five years later, he shall be two and a
hall times as old as his son. How old is Sumit at present ?
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2
Answer:
Sumit is 45 yrs old at present
Step-by-step explanation:
Present age of Sumit = x
Present age of his son = y
At present
x = 3y ......(1)
5 years later
(x + 5) = 2½(y + 5)
x + 5 = (5/2) × (y + 5)
2(x + 5) = 5(y + 5)
2x + 10 = 5y + 25
2x - 5y = 25 - 10
2x - 5y = 15
From equation (1)
2(3y) - 5y = 15
6y - 5y = 15
y = 15 yrs
If y = 15 then from equation (1)
x = 3y
= 3 × 15
= 45 yrs
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