If 1½ years is added to 3/7th of the age of Ravi, it will be half of his present age. What is his present age?
Question
If 1½ years is added to 3/7th of the age of Ravi, it will be half of his present age. What is his present age?
Solution
Let's denote Ravi's present age as X years.
According to the problem, 3/7 of Ravi's age plus 1½ years equals half of his present age. We can write this as an equation:
3/7X + 1½ = 1/2X
To solve this equation, we first need to get rid of the fractions. We can do this by multiplying every term by 14 (the least common multiple of 7 and 2):
14*(3/7X) + 141½ = 14*(1/2*X)
This simplifies to:
6X + 21 = 7X
Subtract 6X from both sides:
21 = X
So, Ravi's present age is 21 years.
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