Ram is half fathers age now. Ten years ago he was one third his father's age then. What are their present ages
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Let Ram's age be x and his father's age be y,
As Ram is half of his father's age therefore
x = y/2. .Eq..1
Ten years ago he was one-third his father's age.
Ten years ago their ages x - 10 and y - 10
x - 10 = (y - 10)/3
Cross multiplication
3x - 30 = y - 10
Substituting the value of x from Eq..1
3 (y/2) - 30 = y - 10
3y/2 - y = 30 - 10
(3y - 2y) / 2 = 20
Cross multiplication
y = 20 × 2
y ÷ 40
This father's age is 40 years
The son age x = y/2
x = 40/2 = 20
The son's age is 20 years.
Answer the father's age is 40 years and son's age is 20 years.
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