Question

(a) What number must be subtracted from
each term of the ratio 5 : 7 so that the ratio
becomes 2 : 3 ?​

Answer 1

Answer:

• 1 must be subtracted from each term of the ratio 5 : 7 so that the ratio becomes 2 : 3.

Step-by-step explanation:

To Find:

• What is the number?

Let us assume:

• X must be subtracted from each term of the ratio 5 : 7 so that the ratio becomes 2 : 3.

Finding the number:

According to the question.

⇢ (5 - X) : (7 - X) = 2 : 3

⇢ (5 - X)/(7 - X) = 2/3

Cross multiplication.

⇢ 3(5 - X) = 2(7 - X)

⇢ 15 - 3X = 14 - 2X

⇢ 15 - 14 = - 2X + 3X

⇢ 1 = X

⇢ X = 1

Hence,

• 1 must be subtracted from each term of the ratio 5 : 7 so that the ratio becomes 2 : 3.

Answer 2

Given :-

Ratio = 5:7

To Find :-

What number must be subtracted from  each term of the ratio 5 : 7 so that the ratio  becomes 2 : 3

Solution :-

Let the number to be subtracted be y

5 - y/7 - y = 2/3

2(7 - y) = 3(5 - y)

14 - 2y = 15 - 3y

3y - 2y = 15 - 14

y = 1