Question

Sum of ages of Ajay and Vijay is 50 and differenceof their ages is 10 then their present ages are

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Age\:of\:Ajay=30\:years}}}$

$\green{\tt{\therefore{Age\:of\:Vijay=20\:years}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Sum \: of \: age \: of \: Ajay \: and \: Vijay = 50 \\ \\ \tt: \implies Difference \: of \: their \: ages= 10 \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Age \: of \: Ajay = ? \\ \\ \tt: \implies Age \: of \: Vijay = ?$

• According to given question :

$\circ \text{Let \: Age \: of \: Ajay \: be \: A} \\ \\ \circ \: \text{Age \: of \: Vijay \: be \: V} \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies A+ V= 50 \\ \\ \tt: \implies A= 50 - V - - - - - (1)\\ \\ \tt: \implies A - V = 10 - - - - - (2) \\ \\ \text{Putting \: value \: of \: A\: in \: (2)} \\ \tt: \implies 50 - V- V= 10 \\ \\ \tt: \implies 50 - 2V = 10 \\ \\ \tt: \implies 50 - 10 = 2V \\ \\ \tt: \implies V= \frac{40}{2} \\ \\ \green{\tt: \implies V = 20} \\ \\ \text{Putting \: value \: of \: V \: in \: (1)} \\ \tt: \implies A = 50 - 20 \\ \\ \green{\tt: \implies A= 30} \\ \\ \green{\tt \therefore Age \: of \: Ajay \: is \: 30 \: years} \\ \\ \green{\tt \therefore Age \: of \: Vijay \: is \: 20 \: years}$

Answer 2

QUESTION :

Sum of ages of Ajay and Vijay is 50 and differenceof their ages is 10 then their present ages are.....

SOLUTION :

$\begin{lgathered}\circ \text{Let \: Age \: of \: Ajay \: be \: X} \\ \\ \circ \: \text{Age \: of \: Vijay \: be \: Y} \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies X+Y= 50 \\ \\ \tt: \implies X= 50 - Y - - - - - (1)\\ \\ \tt: \implies X - Y = 10 - - - - - (2) \\ \\ \text{Putting \: value \: of \: A\: in \: (2)} \\ \tt: \implies 50 - Y- Y= 10 \\ \\ \tt: \implies 50 - 2Y = 10 \\ \\ \tt: \implies 50 - 10 = 2Y \\ \\ \tt: \implies V= \dfrac{40}{2} \\ \\ \orange{\tt: \implies Y = 20} \\ \\ \text{Putting \: value \: of \: V \: in \: (1)} \\ \tt: \implies X = 50 - 20 \\ \\ \blue{\tt: \implies Y= 30} \\ \\ \purple{\tt \therefore Age \: of \: Ajay \: is \: 30 \: years} \\ \\ \pink{\tt \therefore Age \: of \: Vijay \: is \: 20 \: years}\end{lgathered}$