Question

if 21 is added to a number then the result becomes 130% of the number. what is the number​

Answer 1

Answer:

The number = 70

Step-by-step explanation:

Given :-

if 21 is added to a number then the result becomes 130% of the number.

To find :-

What is the number ?

Solution :-

Let the required number be X

On adding 21 to it

Then the new number = X+21

According to the given problem

if 21 is added to a number then the result becomes 130% of the number.

=> X+21 = 130% of X

=> X+21 = 130% × X

=> X+21 = (130/100)×X

=> X+21 = (13/10)×X

=> X+21 = 13X/10

=>10(X+21) = 13X

=> 10X +210 = 13X

=> 13X -10X = 210

=> 3X = 210

=> X = 210/3

=> X = 70

Therefore, X = 70

Answer:-

The required number for the given problem is 70

Check:-

The number = 70

On adding 21 to it = 70+21 = 91

130% of 70

=> (130/100)×70

=> (130×70)/100

=> 9100/100

=> 91

Verified the given relations in the given problem.