(1) A man is 42 years old and his son is 12 years old. How many years

1.	(1) A man is 42 years old and his son is 12 years old. How many years ago was the father's age six time that of theson
Answer» $\huge\purple{\underline{\underline{\pink{Ans}\red{wer:-}}}}$ $\sf{6 \ years \ ago \ the \ father's \ age \ was}$ $\sf{6 \ times \ of \ his \ son's \ age.}$ $\sf\orange{Given:}$ $\sf{\implies{Age \ of \ man=42 \ years}}$ $\sf{\implies{His \ son's \ age=12 \ years}}$ $\sf\pink{To \ find:}$ $\sf{How \ many \ years \ ago \ was \ the}$ $\sf{father's \ age \ six \ times \ that \ of \ the \ son.}$ $\sf\green{\underline{\underline{Solution:}}}$ $\sf{Let \ x \ years \ ago \ the \ man's \ age \ be}$ $\sf{six \ times \ of \ his \ son's \ age.}$ $\sf{According \ to \ condition}$ $\sf{\implies{42-x=6(12-x)}}$ $\sf{\implies{42-x=72-6x}}$ $\sf{\implies{6x-x=72-42}}$ $\sf{\implies{5x=30}}$ $\sf{\implies{x=\frac{30}{5}}}$ $\sf{\implies{x=6}}$ $\sf\purple{\tt{\therefore{6 \ years \ ago \ the \ father's \ age \ was}}}$ $\sf\purple{\tt{6 \ times \ of \ his \ son's \ age.}}$