Question

Find a number which when added to its half gives 42​

Answer 1

☆ Given :

• A number when added to its half gives us 42.

☆ To find :

• The number.

☆ Solution :

Let's assume the number as x

Thus, half the number = 1/2x

According to Question,

→ $\sf {x+}\dfrac{1}{2}x\sf{=42}$

→ $\sf\dfrac{2x+x}{2}\sf{=42}$

→ $\sf\dfrac{3x}{2}\sf{=42}$

→ $\sf{3x=42\times2}$

→ $\sf{3x=84}$

→ $\sf{x=}\dfrac{\cancel{84}^{28}}{\cancel3^1}$

→ $\sf{x=28}$

Therefore,

$\underline{\boxed{\rm{Required \ number \ is \ 8}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀

⠀★ Verification ★

As it is given that, when a number is added to half its number the result is 42.

Thus,

Equation :

$\mapsto\sf {x+}\dfrac{1}{2}x\sf{=42}$

$\mapsto\sf {x+}\dfrac{x}{2}\sf{=42}$

Putting the value of x :

$\mapsto\sf {28+}\dfrac{28}{2}\sf{=42}$

$\mapsto\sf\dfrac{56+28}{2}\sf{=42}$

$\mapsto\sf\cancel\dfrac{84}{2}^{42}\sf{=42}$

$\star \: {\underline{\tt{42=42}}}\: \star$

${\underline{\text{\sf{Thus, both sides are equal}}}}$

${\underline{\text{\sf{Hence, Verified !!}}}}$

Answer 2

Answer:

let the number be X

Acha, X+(X/2)=42

=2x+X=84

3x=84

x=84/3=28

so, the is 28