## Two numbers are such that the ratio between them is 5:7.if is added to each of them, the ratio becomes 3:4.find the answer

Question

Two numbers are such that the ratio between them is 5:7.if is added to each of them, the ratio becomes 3:4.find the answer

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2 months 2021-11-10T20:43:20+00:00 2 Answers 0 views 0

## Answers ( )

1. ### Given:-

• Two numbers are such that the ratio between them is 5:7.
• If 7 is added to each of them, the ratio becomes 3:4.

### To find out:-

Find the value of 5:7 ?

### Solution:-

Let the ratio between two no be 5x : 7x.

★ According to the question,

If 7 is added to each of them, the ratio becomes 3:4.

5x + 7 : 7x + 7 =3:4

⇒ 5x + 7 / 7x + 7 = 3/4

By cross- multiplication

⇒ 4 ( 5x + 7 ) = 3 ( 7x + 7 )

⇒20x + 28 = 21x + 21

⇒ 21x – 20x = 28 – 21

⇒ x = 7

Now,

5x = 5 × 7 = 35

7x = 7 × 7 = 49

2. Two numbers are such that the ratio between them is 5:7. If 7 is added to each of them, the ratio becomes 3:4. Find the two numbers.

Two numbers are such that the ratio between them is 5:7

After adding 7 to each of them, the ratio becomes 3:4

The two numbers

Let the constant be x.

According to the 1ˢ condition,

According to the 2 condition,

The Two Numbers are :

5x = 5 × 7 = 35

7x = 7 × 7 = 49

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