Question

two number are in ratio 7 ratio 11 if 7 is added to each of the number the ratio becomes 2 ratio 3 find the number

Answer 1

Heyyyy mate

here is your answer..

given two numbers are in ratio= 7:11

let number= X

first number=7x

and second number=11x

according to question,
7x/11x

so, we will now add 7 both
7x+7/11x+7=2/3

3(7x+7)=2(11x+7)

21x+21=22x+14

21x-22x=14-21

-x=-7

after cancelling(-)

we got X= 7

so the number is 7

hope it help you

Answer 2

Answer :-

49 and 77.

Explanation :-

Given :-

Two numbers are in the ratio 7:11.

If 7 is added to each of the numbers, the ratio becomes 2:3.

To Find :-

Both the numbers.

Solution :-

Let,

First Number = 7x.

Second Number = 11x.

According to the Question,

➙ (7x + 7)/(11x + 7) = 2/3.

➙ 3(7x + 7) = 2(11x + 7).

➙ 21x + 21 = 22x + 14.

➙ 21x - 22x = 14 - 21

➙ -x = -7.

➙ x = 7.

Therefore,

First Number = 7x = 49.

Second Number = 11x = 77.