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
Answers
Answered by
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.
Similar questions