A man is 28 years older than his son After 10 years he will be thrice as old as his son . find their present ages (linear equations )
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Let the man's age be 'x' and
his son's age be 'y'.
Given the man is 28 years older than his son,
x=28+y→1
FUTURE:
After 10 years, he'll be thrice the old as his son.
∴x+10=3(y+10)
x+10=3y+30
x-3y=30-10
x-3y=20
Substituing this in 1, we get:
28+y-3y=20
-2y=20-28
-2y=-8
y=-8÷-2
⇒y=4.
Substituting this in 1, we get:
x=28+y
=28+4
∴x=32.
∴The present age of the man is 32 years and his son's is 4 years.
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