Question

Two numbers are in the ratio 2:5,
when 20 is added to each number
the ratio becomes 4:7. find the
number.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer :-

Numbers are 20 and 50.

Explanation :-

Ratio of the two numbers = 2 : 5

Let the two number be 2x, 5x

20 is added to each number

Two numbers become = (2x + 20) and (5x + 20)

Given

Ratio of the two numbers when 20 added to each number = 4 : 7

⇒ (2x + 20)/(5x + 20) = 4/7

By cross multiplication

⇒ 7(2x + 20) = 4(5x + 20)

⇒ 14x + 140 = 20x + 80

⇒ 140 - 80 = 20x - 14x

⇒ 60 = 6x

⇒ 60/6 = x

⇒ 10 = x

⇒ x = 10

One of the number = 2x = 2(10) = 20

Another number = 5x = 5(10) = 50

Therefore the numbers are 20 and 50.