Question

45% of a number is 117. Find the number​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$\huge\bold{\mathbb{QUESTION}}$

$45\%$ of a number is $117.$ Find the number.

$\huge\bold{\mathbb{GIVEN}}$

• $45\%$ of a number is $117.$

$\huge\bold{\mathbb{TO\: FIND}}$

The number.

$\huge\bold{\mathbb{SOLUTION}}$

Let the number be $x.$

So, we can say-

$45\%\:\,of\:\,x=117$

$\implies {\dfrac{45}{100}}\times x=117$

$\implies {\dfrac{45x}{100}}=117$

$\implies 45x=(117\times 100)$

$\implies 45x=11700$

$\implies x={\dfrac{11700}{45}}$

$\implies x=\cancel{\dfrac{11700}{45}}$

$\implies x=260$

$\huge\bold{\mathbb{HENCE}}$

$x=260$

The number $=x=260$

$\huge\bold{\mathbb{THEREFORE}}$

The number is $260.$

$\huge\bold{\mathbb{NOT\:\,SURE\:\,??}}$

$\huge\bold{\mathbb{VERIFICATION}}$

$45\%\:\,of\:\,x=117$

Putting $x=260,$

$\implies 45\%\:\,of\:\,260=117$

$\implies {\dfrac{45}{100}}\times 260=117$

$\implies {\dfrac{45}{10\cancel0}}\times 26\cancel0=117$

$\implies {\dfrac{45}{10}}\times 26=117$

$\implies 4.5\times 26=117$

$\implies 117=117$

So, $L.H.S=R.H.S.$

Hence, verified ✓ .

$\huge\bold{\mathbb{WE\:\,MADE\:\,IT\:\,!!}}$