two numbers are in ratio 3:4 ,if 6 is added to each term in the ratio ,then the new ratio will be 4:5 ,then the numbers are?
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Answered by
42
Ratio of numbers = 3:4
So the numbers be 3x , 4x
Given '6' is added to each term, ratio will be 4:5
(3x + 6)/(4x + 6) = 4/5
5*(3x + 6) = 4*(4x + 6)
15x + 30 = 16x + 24
x = 6
3x = 3*6 = 18... 4x = 4*6 = 24
Hence numbers are 18 and 24.
[cross-check: 18:24 = 3:4.... 6 added to each, 18+6 : 24+6 = 24:30 = 4:5..hence verified the number are 18,24]
Hope it helps.
So the numbers be 3x , 4x
Given '6' is added to each term, ratio will be 4:5
(3x + 6)/(4x + 6) = 4/5
5*(3x + 6) = 4*(4x + 6)
15x + 30 = 16x + 24
x = 6
3x = 3*6 = 18... 4x = 4*6 = 24
Hence numbers are 18 and 24.
[cross-check: 18:24 = 3:4.... 6 added to each, 18+6 : 24+6 = 24:30 = 4:5..hence verified the number are 18,24]
Hope it helps.
Answered by
3
Answer:
18 and 24is the number..
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