Question

When 20%of a number is added to another number the second number increases to its 108%.What is the ratio between the first and second number?

Answer 1

Answer:

Xx20 / 100 +y=yx108/l00

(20x+looy) loo=108y/100

20x+looy=108y

20x=8y

5x=2y

x:y=2:5

Answer 2

The ratio of first and second number is 2:5.

Step-by-step explanation:

Let the two numbers be 'x' and 'y'.

So, 20% of number is added to another, the second number increases to its 108%.

According to question, we get that

$\dfrac{20}{100}x+y=\dfrac{108}{100}y\\\\0.2x+y=1.08y\\\\0.2x=1.08y-y\\\\0.2x=0.08y\\\\\dfrac{x}{y}=\dfrac{0.08}{0.2}=\dfrac{8}{20}=\dfrac{2}{5}$

Hence, the ratio of first and second number is 2:5.

# learn more:

What number when increased by 20% becomes 108

https://brainly.in/question/5525487