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Two numbers are in the ratio 2 : 3. If 4 be subtracted from each, they are in the ratio 3 : 5.The numbers are
  • a)
    (16,24)
  • b)
    (4,6)
  • c)
    (2,3)
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two numbers are in the ratio 2 : 3. If 4 be subtracted from each, they...
Let no. 2x and 3x then
(2x-4)/(3x-4)=3/5
10x-20=9x-12
x=8
now, numbers are:2x8=16. &. 3x8=24
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Most Upvoted Answer
Two numbers are in the ratio 2 : 3. If 4 be subtracted from each, they...
Given: Two numbers are in the ratio 2 : 3.
Let the numbers be 2x and 3x.

If 4 be subtracted from each, they are in the ratio 3 : 5.
Therefore, (2x - 4) : (3x - 4) = 3 : 5
Solving this equation, we get
10x - 12 = 9x - 12
x = 0

This is not a valid solution. Therefore, there is no such pair of numbers that satisfies both the given conditions.

Hence, the correct answer is option 'D' (None of these).
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Community Answer
Two numbers are in the ratio 2 : 3. If 4 be subtracted from each, they...
Let no be 2x and 3x
.
. .
our equation is (2x-4) divided by (3x-4)=3/5
so, 5(2x-4) =3(3x-4)
= 10x-20 = 9x-12
= 10x-9x = 20-12
= x = 8

so, 2x = 2×8 =16
3x= 3×8 = 24
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Two numbers are in the ratio 2 : 3. If 4 be subtracted from each, they are in the ratio 3 : 5.The numbers area)(16,24)b)(4,6)c)(2,3)d)none of theseCorrect answer is option 'A'. Can you explain this answer?
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