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Two numbers are in the ratio of 5:6. When 2 is added to first and three is added to second,they are in the ratio 4:5. Find the numbers.?
Verified Answer
Two numbers are in the ratio of 5:6. When 2 is added to first and thre...
Given that

x:y = 5:6, or

6x = 5y, or

30x = 25y …(1)

Next we have

(x+2):(y+3) = 4:5, or

5(x+2) = 4(y+3), or

5x+10 = 4y+12, or

5x = 4y+2, or

30x = 24y +12 …(2)

Equate (1) and (2)

25y = 24y +12, or

y = 12 and so x = 10

So the two numbers are 10 and 12.
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Most Upvoted Answer
Two numbers are in the ratio of 5:6. When 2 is added to first and thre...
Let the no. be 5x and 6x. A/q, 5x+2/6x+3 = 4/5. By cross multiplication we have, 5(5x+2) = 4(6x+3). 25x+10 = 24x+12. 25x - 24x = 12 - 10. x = 2So the numbers are 5x = 5×2 = 10 and 6x = 6×2 = 12.Numbers are 10 and 12.
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Two numbers are in the ratio of 5:6. When 2 is added to first and three is added to second,they are in the ratio 4:5. Find the numbers.?
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Two numbers are in the ratio of 5:6. When 2 is added to first and three is added to second,they are in the ratio 4:5. Find the numbers.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Two numbers are in the ratio of 5:6. When 2 is added to first and three is added to second,they are in the ratio 4:5. Find the numbers.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two numbers are in the ratio of 5:6. When 2 is added to first and three is added to second,they are in the ratio 4:5. Find the numbers.?.
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