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The ratio of two numbers is 7:4. If 8 is subtracted from the larger and 3 from the smaller, the new ratio will be 5:3. Find the smaller of the original numbers

Sagot :

We let the first number be 7x, this would make the second 4x so:
7x - 8: 4x - 3 = 5 : 3
7x - 8 = 5
4x - 3    3
We cross-multiply:
21x - 24 = 20x - 15
21x - 20x = -15 + 24
x = 9

Therefore the smaller of the original numbers is 4x = 36