Question

Two numbers are in the ratio 9: 10. When 3 in subtracted from the
first and 10 is subtracted from the second, they are in the ratio 3:2. Find the numbers​

Answer 1

Answer:

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Answer 2

Answer:

18 and 20

Step-by-step explanation:

Let the numbers be 9x and 10x

According to the question we have

9x-3/10x-10 = 3/2

By cross multiplication we get

2(9x-3) = 3(10x-10)

= 18x-6 = 30x-30

= 18x-30x = -30+6

= -12x = -24

= 12x = 24

= x = 24/12

= x = 2

So the numbers are 9x = 9*2 = 18 and 10x = 10*2 = 20

Hope it helps