Question

ratio between two numbers 4:7.if each is increased by 20 then the ratio becomes 7:9find the numbers.

Answer 1

Let the Original Numbers be 4x and 7x

Given that each number is increased by 20

⇒ The New Numbers are (4x + 20) and (7x + 20)

Given that the New numbers are in the ratio -  7 : 9

⇒ (4x + 20)/(7x + 20) = 7/9

⇒ (4x + 20) × 9 = (7x + 20) × 7

⇒ 36x + 180 = 49x + 140

⇒ 13x = 40

⇒ x = 40/13

We know that Original numbers are 4x and 7x

but we got the value of x = 40/13

⇒ The Original numbers are (4 × 40/13) and (7 × 40/13)

⇒ The Original numbers are 160/13 and 280/13

Answer 2

ANSWER :-

160 / 13 , 280 / 13



EXPLAINATION :-



Let the numbers be 4x and 7x


According to Question ,


=>( 4x + 20 ) : ( 7x + 20 ) = 7 : 9

=>( 4x + 20 ) / ( 7x + 20 ) = 7 / 9

=>49x + 140 = 36x + 180

=>49x - 36x = 180 - 140

=>13x = 40

=>x = 40 / 13

So ,

First number :-

4x = 4 × 40 / 13

4x = 160 / 13

Second number :-

7x = 7 × 40 / 13

7x = 280 / 13