Question

The sum of the ages of father and his son is
42 years then one product and their ages.
is 185 find their ages
Solution:​

Answer 1

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Let the father and his son's age be 'X' years and 'Y' years respectively.

X + Y = 42

XY = 185

X = 185/Y

⟹ 185/Y + Y = 42

⟹ 185 + Y² = 42Y

⟹ Y² - 42Y + 185 = 0

⟹ Y² - (37+5)Y + 185 = 0

⟹ Y² - 37Y - 5Y + 185 = 0

⟹ Y (Y-37) - 5(Y-37) = 0

⟹ (Y-37)(Y-5) = 0

. ° . Y = 5

X = 42 - 5 = 37

Therefore, father's age 37 years and son's age 5 years.

______________________________

Answer 2

Father age → 37 years

Son Age → 5 years

Step-by-step explanation:

F + S = 42

F * S = 185

(42-S) * S = 185

42S - S² = 185

S² - 42S + 185 = 0

S² - 37S - 5S + 185 = 0

(S - 37) (S - 5) = 0

S = 37 or 5