Question

what should be added to each term of ratio 7:13 so it becomes 2:3

Answer 1

solution :

given ratio = 7 : 13

Let x should be added to each term so

it become 2 : 3

( 7 + x ): ( 13 + x ) = 2 : 3

⇒ 3( 7 + x ) = 2( 13 + x )

⇒ 21 + 3x = 26 + 2x

⇒ 3x - 2x = 26 - 21

⇒ x = 5

∴ We should add 5 to each term of the ratio

7 : 13 so it becomes 2 : 3

....

Answer 2

Given:

The ratio is 7 : 13

Let us add a number say x to each term.

The ratio becomes

==> ( 7 + x ) : ( 13 + x)

Now given;

2 : 3 = ( 7 + x ) : ( 13 + x )

So:

==> 2 / 3 = ( 7 + x ) / ( 13 + x )

==> Cross multiplying gives us:-

==> 2 ( 13 + x) = 3( 7 +x )

==> 26 + 2 x = 21 + 3 x

==> 3 x - 2 x = 26 -21

==> x = 5

We get that number to be 5.

Let us verify the solution:

( 7 + 5 ) : ( 13 + 5)

==> 12 : 18

==> 2 : 3

Hence verified

Answer:

The number that should be added to each term of 7:13 to make it 2:3 is 5.

Hope it helps you

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