Question

8. The difference between two numbers is 33 and the ratio

between them is 5:2. Find the numbers

Answer 1

Explanation:

x - y = 33

x/y = 5/2 Multiply both sides by y

y*x/y =5y/2

x = 5y/2 Multiply both sides by 2

2x = 5y Multiply the top equation by 2. Bring 5y to the left

2x - 2y = 66

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2x - 5y = 0

2x - 2y = 66 Subtract

-3y = - 66 Divide by - 3

y = 22

x - y = 33

x - 22 = 33 Add 22 to both sides

x = 22 + 33

x = 55