[17] The denominator of a fraction is 3 more than the numerator'. If 5 is added to
both parts, the resulting fraction is equivalent to4/5 Find the fraction.
Answers
Answered by
7
Answer:
answer for the given problem is given
Attachments:
Answered by
0
Answer:
7/10
Step-by-step explanation:
Let the numerator of the fraction be x
The denominator is 3 more than numerator = (x+3)
According to the question
When 5 is added to both parts we get,
4/5
So,
⇒ [x + 5 ]/[(x+3) + 5 ] = 4/5
⇒ (x+5)/(x+8) = 4/5
⇒ 5(x+5) = 4(x+8)
⇒ 5x + 25 = 4x + 32
⇒ 5x - 4x = 32 - 25
⇒ x = 7
Therefore,
Numerator is x = 7
And denominator = (x+3) = 3 + 7 = 10
So,
Required fraction is 7/10
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