1.

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

Answer»

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


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