two numbers are in ratio 7:5. the number is 108 , if one is added to numerator and 5 subtracted to denominator what is the ratio
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Answer:
If two numbers are in the ratio of 5:7 and if 5 is added to each of them, then their ratio becomes 3:4. What is the number?
Two numbers are in the ratio of 5:7
Let the rational between two numbers be x.
Hence the two numbers are 5x and 7x
if 5 is added to each of them, then their ratio becomes 3:4
After addition of 5 in the number the number becomes 5x + 5 and 7x + 5. The ratio between the numbers
(5x + 5) / (7x + 5) = 3/ 4
Cross multiplication
3 (7x + 5) = 4 (5x + 5)
21x + 15 = 20x + 20
21x - 20x =20 - 15
x = 5
The rational is 5. Hence the numbers are
One number = 5x = 5 × 5 = 25
Other number = 7x = 5 × 7= 35
Thus, the two numbers are 25 and 35
Answer the two numbers are 25 and 35 .
Step-by-step explanation:
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