solve the following problems
a) the denominator of a fraction is 5 more than it's numerator and the denominator,the fraction becomes 4/5 find the number
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Answer:
THE ANSWER IS 22/27
Step-by-step explanation:
Let,
The numerator of the fraction = x
The denominator of the fraction = x + 5
★ If 2 is subtracted from both the numerator and the denominator
The numerator of the fraction = x - 2
The denominator of the fraction = x + 5 - 2
⇒ x + 5 - 2
⇒ x + 3
.°. The denominator of the fraction = x + 3
⇒
⇒ 5 (x - 2) = 4 (x + 3)
⇒ 5x - 10 = 4x + 12
⇒ 5x - 4x = 12 + 10
⇒ 1x = 22
⇒ x = 22
The numerator of the fraction = 22
The denominator of the fraction = x + 5
⇒ 22 + 5
⇒ 27
The denominator of the fraction = 27
Therefore,
YOUR ANSWER IS 22/27
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