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!
1 answer:
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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