the difference of to number is 9 and they are in the ratio 4:7.find the numbers
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Question
- The difference of two numbers is 9 and the numbers are in the ratio 4:7. Find the numbers.
Given
- Difference of 2 numbers = 9
- Ratio of these 2 numbers = 4:7
To find
- The 2 numbers
Solution
- Let the 2 required numbers be x and y, and in the question they gave us the ratio 4:7, then according to the question.
→ 7x - 4x= 9
→ 3x = 9
→ x = 9/3
→ x = 3
∴ The value of x is 3
→ 4x = 4(3) = 12
→ 7x = 7(3) = 21
∴ The 2 numbers are 12 and 21
Verification
- 7x - 4x = 9
- 21 - 12 = 9
- 9 = 9
- L.H.S = R.H.S
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