Ragu is 19 years younger than his causin All
After 5 years their ages will be in the ratio 2:3, Find
their present age.
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Let the age of Raju = x
Age of Raju's cousin = 19 + x
Ages after 5 years
Raju: x + 5
His cousin: 19 + x + 5 = 24 + x
Ratio of their ages = 2:3
Thus, we have
x+5 2
--------- = _
24+x. 3
Cross multiplying, we get
3(x + 5) = 2(24 + x)
3x + 15 = 48 + 2x
3x - 2x = 48 - 15
x = 33
Thus, age of Raju is 33 years and age of his cousin is 19 + 33 = 52 years
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