Aman’s age is three times his son’s age. Ten years ago he was five

1.	Aman’s age is three times his son’s age. Ten years ago he was five times his son’sage. Find their present ages.
Answer» $\mathfrak{\large{\underline{\underline{Answer :-}}}}$ The present AGES are - SON = 20 YEARS and Aman = 60 years. $\mathfrak{\large{\underline{\underline{Explanation :-}}}}$ Given : Aman's age = 3 times his son's age Ten years ago = Aman was five times his son’s age To FIND : Their Present ages Solution : ⚝ Present Day - Consider Son's age as X Aman = 3x ⚝ 10 Years ago - Son's age = x - 10 Aman's age = 3x - 10 It is given in the question that Ten years ago he was five times his son’s age. So, ★ $\boxed{\sf{3x - 10 = 5(x - 10)}}$ $\sf{\implies} \: 3x - 10 = 5(x - 10)$ $\sf{\implies} \: 3x - 10 = 5x - 50$ $\sf{\implies} \: 3x - 5x = - 50 + 10$ $\sf{\implies} \: \cancel- 2x = \cancel - 40$ $\sf{\implies} \: x = \dfrac{40}{2}$ $\sf{\implies} \: x = 20$ Son's present age = 20 years $\rule{300}{1.5}$ ★ Value of 3x $\sf{\implies} \: 20 \times 3$ $\sf{\implies} \: 60$ Aman's present age = 60 years $\therefore$ The present ages are - Son = 20 years and Aman = 60 years. $\rule{300}{1.5}$ $\mathfrak{\large{\underline{\underline{Verification :-}}}}$ $\sf{\implies} \: 3(20)- 10 = 5(20 - 10)$ $\sf{\implies} \: 60- 10 = 100 - 50$ $\sf{\implies} \:50 = 50$ $\therefore$ The present ages are - Son = 20 years and Aman = 60 years.