Question

two numbers are in the ratio 5:6.If 8 is subtracted from both numbers the ratio becomes 4:5.Find the two numbers​

Answer 1

Required numbers are 40 and 48.

Answer 2

Answer:

40 and 48

Step-by-step explanation:

Let the ratio of first number be 5x

and the ratio of second number be 6x

according to question....

After subtracting 8 from both numbers

first number = (5x - 8)

second number = ( 6x - 8)

the ratio become 4: 5

then, 5x - 8 = 4: 5

6x - 8

=: 5x -8 = 4

6x - 8 5

cross multiply ,,

5(5x-8) = 4 ( 6x-8)

25x-40 = 24x - 32

25x - 24x = -32+40

x = 8

then, first number = 5x = 5× 8 =40

second number = 6x = 6× 8 = 48