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Three numbers are in the ratio 4:3:5. If the difference between thrice the third number and the sum of first and second number is 64. Find the difference between the first and third number?
  • a)
    4
  • b)
    8
  • c)
    12
  • d)
    16
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Three numbers are in the ratio 4:3:5. If the difference between thrice...
15x – (7x) = 64, we get x = 8
difference between first and third number = 5x – 4x = x = 8
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Most Upvoted Answer
Three numbers are in the ratio 4:3:5. If the difference between thrice...
Given: Three numbers are in the ratio 4:3:5

Let the three numbers be 4x, 3x, and 5x

Given: The difference between thrice the third number and the sum of first and second number is 64

Therefore, 3(5x) - (4x + 3x) = 64

Simplifying the above equation we get, 7x = 64

Hence, x = 64/7

Therefore, the three numbers are 4x = 256/7, 3x = 192/7, and 5x = 320/7

To find the difference between the first and third number, we need to subtract the first number from the third number

Therefore, (320/7) - (256/7) = 64/7

Therefore, the answer is 8 (Option B)
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Community Answer
Three numbers are in the ratio 4:3:5. If the difference between thrice...
Let
the first no be 4x
2nd be 3x
and 3rd be 5x
then
3(5x)-4x+3x=64
8x=64
x=8
then 5x8=40
4*8=32
40-32=8
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Three numbers are in the ratio 4:3:5. If the difference between thrice the third number and the sum of first and second number is 64. Find the difference between the first and third number?a)4b)8c)12d)16e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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