Question

Two numbers are in the ratio 7:11. If 7 is added to each of the numbers, the ratio becomes 2:3. Find the numbers ​

Answer 1

Answer:

1st no. = 49

2nd no. = 77

Step-by-step explanation:

2 numbers are in the ratio 7:11

Let the 1st no. be 7x

Let the 2nd no. be 11x

So,

7x +7/ 11x + 7 = 2/3

so by cross multiplying

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

= 3*7x + 7*3 = 2*11x + 2*7

= 21x+21 = 22x + 14

= 22x - 21x = 21-14

x = 7

1st no =7×7=49

2nd no = 11x7 = 77

Hope this helps :)