Two numbers are in the ratio 3/4. If 4 is subtracted from each they are in the ratio of 5/7. Find the numbers!

Mathematics

1 answer:

frosja888 [35]2 years ago

3 0

Answer:

The two numbers are 24 and 32

Step-by-step explanation:

We can use the variable x

3x : 4x, would be a ratio of 3/4

now subtract 4 from both

3x - 4 : 4x - 4 = 5/7

3x-4 / 4x-4 = 5/7

cross multiplication

7(3x - 4) = 5(4x - 4)

21x - 28 = 20x - 20

x = 8

Two numbers are;

3x, 4x

3(8), 4(8)

24, 32

24/32 = 3/4

20/28 = 5/7

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