The difference between two numbers is one - seventh of the sum of these two…
2023
The difference between two numbers is one - seventh of the sum of these two numbers . What is the ratio of the two numbers ?
- A.
5:3
- B.
3:1
- C.
7:2
- D.
4:3
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Correct answer: D
Solution: Let the two numbers be A and B.
Set up the equation from the problem: A - B = (A + B)/7.
Multiply both sides by 7: 7A - 7B = A + B.
Rearrange terms: 7A - A = 7B + B ⇒ 6A = 8B.
Divide both sides by B and by 6: A/B = 8/6 = 4/3.
Answer: The ratio of the two numbers is 4:3.