Question

Two numbers are in the ratio 5 : 7. If 8 is subtracted from each, the ratio becomes 3 : 5. Find the numbers.

Answer 1

Answer:

the no. are 20 and 28

Step-by-step explanation:

5x-8+7x-8=3x+5x solve this you will get the ans

Answer 2

Step-by-step explanation:

Ration between the original numbers= 5:7

Let the original numbers be 5x and 7x (eq1)

8 is subtracted from each and ratio becomes 3:5

i.e 5x -8 : 7x - 8 = 3:5

=》 5x - 8 / 7x - 8 = 3/5

=》 5( 5x- 8) = 3(7x -8) ( cross multiplication)

=》 25x - 40 = 21x - 24

=》 25x- 21x = -24 + 40

=》 4x = 16

=》 x = 16/4

=》 x= 4

Putting the value of x in eq1

we get 5x = 5 × 4 = 20

7x = 7 × 4 = 28

Therefore the numbers are 20 and 28.

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I hope this helps you. If you find this answer satisfactory then please give me five stars. Thank you☺