## the ratio of two numbers is 5:9. If each of the numbers are increased by 10 the ratio becomes 10:17. Find the numbers.

Question

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## Answers ( )

:Answer## Given :

• Ratio of two numbers = 5:9

• Final Ratio of no(s) = 10:17 (when inc. by 10)

## To Find :

• Numbers

## Solution :

• Let the number be. Now , the numbers areand

x5x9x.• If:

eachnumberisincreasedby10## •

Accordingtothequestion:→ If we increase both the numbers bythe ratio becomes.

1010:17## •

Now,solvingfurther:## • Numbers are : 70 and 126

_____________________Step-by-step explanation:Solution:-Let the common ratio between the numbers be x

As, the ratio of two numbers is 5 : 9

The first number = 5x

The second number = 9x

If the number is increased by 10The first number becomes = 5x + 10

The second number becomes = 9x + 10

The ratio becomes 10 : 17

So:-

By cross multiplication:-→ 17(5x + 10) = 10(9x + 10)

→ 85x + 170 = 90x + 100

→ 90x – 85x = 170 – 100

→ 5x = 70

→ x =

→ x = 14

The first number = 5x = 5 × 14 = 70

The second number = 9x = 9 × 14 = 126

## ∴

The number are 70 and 126