Question

80% of a number, increased by 15, equals the number itself. Find the number.

Answer 1

Answer:

let the number be x

80% +15 = x itself

0.8x+15=x

(1-0.8 )x=15

0.2x = 15

x= 75

Answer 2

Answer:

Hence, value of the number will be 75.

Step-by-step explanation:

In context to question asked,

We have to determine the value of the number.

As per question,

it is given that,

When 80% of a number is increased by 15 then it will be equals to the number itself.

So, let the number be x

So, 80% of the number = 80% of x =$\frac{80}{100}\times x = 0.8 x$

So, when 80% of a number is increased by 15, we will get the increased number as,

$0.8x + 15$

So, from data,

We can conclude that,

$0.8x +15 = x\\=>x - 0.8x = 15\\=>0.2x = 15\\=>x =\frac{15}{0.2}\\=>x = \frac{15\times 10}{2}\\=.x = \frac{150}{2}\\=> x = 75$