the sum of Ages of a son and his father is 35 years and product of their ages is 150 years find their ages
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The sum of the ages of a son and his father is 35
x + y = 35
the product of their ages is 150.
xy = 150
x = 150/y
Substitute x = 150/y into
x + y = 35
150/y + y = 35
Common denominator = y
150 + y^2 = 35y
y^2 - 35y + 150 = 0
(y - 5)(y - 30)
Son's age is 5 years old.
The father's age is 30 years old.
Hope this helps.
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