Question

36. Two number are in the ratio 5 : 6. If 5 is to be
subtracted from each number, the ratio become
4: 5. Find the numbers.

Answer 1

Answer:

• Let the common multiple of both numbers be
• X

Therefore

Numbers are 5x and 6x

Now

when 5 is subtracted from each number

the ratio becomes 4:5

:': 5x-5: 6x-5 = 4:5

:': 5x-5/6x-5 = 4/5

:': 5(5x-5 ) = 4(6x-5)

:': 25x - 25 = 24x -20

:': 25x-24x = -20+25

:': X = 5

Therefore numbers are

5x = 5×5 = 25

6x = 6×5 = 30

Answer:

25,30