## 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

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.​

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1 month 2021-08-18T23:00:20+00:00 2 Answers 0 views 0

### Given :

• Ratio of two numbers = 5:9

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

• Numbers

### Solution :

• Let the number be x . Now , the numbers are 5x and 9x .

• If each number is increased by 10 :

### • Accordingtothequestion:

→ If we increase both the numbers by 10 the ratio becomes 10:17 .

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2. 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 10

The 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