Question

Varun is seven years older than his brother. The sum of the ages is 29 years. Find their ages.

Answer 1

Answer:

varun's age = 18

his brother's age = 11

Step-by-step explanation:

let varun's age be x and his brother's age be b.

we know that v = b + 7

and also, v + b = 29

we can insert v as (b + 7) in v + b = 29

so,  b + 7 + b = 29

2b + 7 = 29

b = $\frac{29-7}{2}$

b = $\frac{22}{2}$

b = 11

v = b + 7

so, v = 11 + 7 = 18

varun's age = 18

his brother's age = 11

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Answer 2

Given :

• Varun is 7 years elder than his brother
• Sum of their ages is 29 years

To Find :

• Find their ages

$\\ \qquad{\rule{200pt}{2pt}}$

SolutioN :

$\dag$ According to the Question :

$\longmapsto$ Let the age of Brother be y .So :

$\qquad \; {\pmb{\sf{ Brother = y \; years }}}$

$\longmapsto$ Varun is 7 years elder than his brother .So :

$\qquad \; {\pmb{\sf{ Varun = y + 7 \; years }}}$

$\dag$ Calculating the Value of y :

$\begin{gathered} \qquad \; \dashrightarrow \; \; \sf { \bigg\lgroup Brother \bigg\rgroup + \bigg\lgroup Varun \bigg\rgroup = 29 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \dashrightarrow \; \; \sf { y + \bigg( y + 7 \bigg) = 29 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \dashrightarrow \; \; \sf { 2y + 7 = 29 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \dashrightarrow \; \; \sf { 2y = 29 - 7 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \dashrightarrow \; \; \sf { 2y = 22 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \dashrightarrow \; \; \sf { y = \dfrac{22}{2} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \dashrightarrow \; \; \sf { y = \cancel\dfrac{22}{2} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \dashrightarrow \; \; {\underline{\boxed{\purple{\pmb{\frak{ y = 11 }}}}}} \; {\green{\pmb{\bigstar}}} \\ \\ \\ \end{gathered}$

$\dag$ Calculating the Ages :

• Brother = y = 11 years
• Varun = y + 7 = 11 + 7 = 18 years

$\therefore \;$ Age of Varun is 18 years and age of Brother is 11 years .

$\\ \qquad{\rule{200pt}{2pt}}$