Question

Ajay is youger then Vijay by 7 years sum
of their ages is 35 years. What is Ajay's
lage ?​

Answer 1

Step-by-step explanation:

Let the vijay age be x

ajay age is x-7

x+x-7=35

2x=35-7

x=28/2

(x=14)

the age of ajay is 14-7=7years

Answer 2

❍ Let's consider, that the age of Vijay be x years and according to the given condition, Ajay is younger than Vijay by 7 years, age of Ajay be (x - 7) years.

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\underline{\bigstar\;\boldsymbol{According\;to\;the\;Question:}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• The sum of the ages of Ajay amd Vijay is 35 years.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf{x+(x-7)=35}\\\\\\:\implies\sf{2x-7=35}\\\\\\:\implies\sf{2x=35+7}\\\\\\:\implies\sf{2x=42}\\\\\\:\implies\sf{x=\cancel{\dfrac{42}{2}}}\\\\\\:\implies\underline{\boxed{\frak{\pink{x=21}}}}{\;\bigstar}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Hence,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Ajay's age = (x - 7) = (21 - 7) = 14 years
• Vijay's age = x = 21 years

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\therefore\;{\underline{\sf{Hence,\;Ajay's\;age\;is\;{\textsf{\textbf{14\;years}}}}.}}$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

V E R I F I C A T I O N :

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• It is given that the sum of the ages of Ajay and Vijay is 35 years. So, let's verify.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\dashrightarrow\sf{\;(Ajay's\;age)+(Vijay's\;age)=35\;years}\\\\\\\dashrightarrow\sf{\;14+21=35}\\\\\\\dashrightarrow\sf{\;35=35}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\qquad\qquad\therefore\;{\underline{\textsf{\textbf{Hence,\;verified!}}}}$