Question

2) Ajay is younger than Vijay by 3 years. The sum of their ages is 25 years,
what is the age of Ajay.​

Answer 1

Answer:

8

Step-by-step explanation:

Let's assume the age of Vijay is 'x'.

Vijay=x

Ajay=x-3

Sum of their ages = x+(x-3) = 25

                              = 2x-2    =25

                              = 2x        = 22

x=11

∴Vijay=11 years

Ajay=11-3=8 years

Answer 2

$\begin{gathered}\begin{gathered} \tt{Given}\begin{cases} \sf{Ajay \: is \: younger \: than \: Vijay \: by \: 3 \: years.}\\\\\sf{The \: sum \: of \: their \: ages \: is \: 25 \: years.}\end{cases}\\\\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered} \tt{To \: find }\begin{cases} \sf{We \: have \: to \: find \: the \: age \: of \: Ajay. }\end{cases}\\\\\end{gathered}\end{gathered}$

$\bf \: \underline{So, \: Let's \: find \: it } \: :$ ↴

$\sf \: Let \: the \: age \: of \: Ajay \: be \: x \: \: and \: the \: age \: of \: Vijay \: be \: 3 \:+\: x.$

$\sf \: x \: + \: (3 \: + \: x) \: = \: 25$

$\sf \: x \: + \: 3 \: + \: x \: = \: 25$

$\sf \: 2\:x \:+ \:3 \:= \:25$

$\sf \:2\:x\: =\: 25 \:- \:3$

$\sf \:2\:x \:= \:22$

$\sf \: x \: = \: \dfrac{22}{2}$

$\sf \:Now\: the\: value\: of\: x \:= \:11$

$\sf \:25\: - \:11\: = \:14$

$\sf \:So, \: 3\: + \: x\: = \: 14$

$\sf \: \red{So, \: the \: Age \: of \: Ajay \: is \: 11 \: and \: the \: age \: of \: Vijay \: is \: 14.}$

______________________________

$\bf \: \underline{Let's \:verify \:our \:answer}\: :$ ↴

$\sf \:11 \:+ \:14\: = \:25$

$\sf \: \green{So,\: their \:age \:is\: 11\: and \:14. }$

______________________________