Question

Two numbers are in the ratio 3:4. If each is increased by 15. The ratio between the new
numbers is 4: 5. Find the original numbers.​

Answer 1

Answer:

Two numbers are such that the ratio between them is 3:5.

If each is increased by 10, the ratio between the new numbers so formed is 5:7.

find the original numbers.

:

Let x = the multiplier

then

3x = one number

5x = the other number

:

"If each is increased by 10, the ratio between the new numbers so formed is 5:7."

%28%283x%2B10%29%29%2F%28%285x%2B10%29%29 = 5%2F7

Cross multiply

5(5x+10) = 7(3x+10)

:

25x + 50 = 21x + 70

25x - 21x = 70 - 50

4x = 20

x = 20/4

x = 5 is the multiplier

then

3(5) = 15 is the 1st number

5(5) = 25 is the 2nd number