Let the amount Mahesh gave to Vijay be ₹x and to Ajay be ₹(1617 - x). According to the given condition, Vijay and Ajay received the same amount after 13 and 14 years, so we can write the equation for their amounts: x(1+10∕100)13=(1617−x)(1+10∕100)14 ⇒x(1.1)13=(1617−x)(1.1)14 Divide both sides by (1.1)13 : ⇒x=(1617−x)(1.1) ⇒x=1617×1.1−x×1.1 ⇒x+x×1.1=1617×1.1 ⇒x(1+1.1)=1617×1.1 ⇒x×2.1=1617×1.1 ⇒x=(1617×1.1)∕2.1 ⇒x=1778.7∕2.1 ⇒x=₹846.43≈₹847