Question

What number must be added to the terms of the ratio 3 : 7 to change the ratio to 5 : 7 ?

Answer 1

Answer:

2:7

Step-by-step explanation:

Answer 2

Answer :-

Given :-

• Ratio of two terms, 3 : 7

To find :-

• Number that must be added to terms to change ratio to 5 : 7

Solution :-

Let the number to be added be x

So,

⇒ $\sf \frac{3 + x}{7 + x} = \frac{5}{7}$

⇒ $\sf 7 ( 3 + x ) = 5 ( 7 + x )$

⇒ $\sf 21 + 7x = 35 + 5x$

⇒ $\sf 7x - 5x = 35 - 21$

⇒ $\sf 2x = 14$

⇒ $\sf x = \frac{14}{2}$

⇒ $\sf x = 7$

7 must be added to the terms to change ratio to 5 : 7.