Question

two numbers are such that the ratio between them is 5:9 . if 7 is added to each of them, the ratio becomes 3:4. find the numbers​

Answer 1

Step-by-step explanation:

Let the 2 numbers be 5x and 9x

after adding 7, the numbers become 5x+7 and 9x+7.

5x+7/9x+7 = 3/4

cross multiplying, we get,

4(6x+7)=3(9x+7)

20x+28=27x+21

20x+28-27x-21=0

-7x+7=0

-7x= -7

x= -7/-7

x=1

the two numbers were 5x and 9x

we got x=1

so 5x= 5×1=5

9x=9×1=9

so the numbers are 5 and 9

Hope you got it.