Answer:
Step-by-step explanation:Given that the numerator of a given fraction is 4 less than its denominator.
Also given that 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth .
Let the fraction be
Since the numerator of a given fraction is 4 less than its denominator we have,
Numerator=Denominator-4
⇒ a=b-4
Since 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth we have
4(a-3)=1(b+5)
4a-12=b+5
4a-b=17
4(b-4)-b=17 ( ∵ a=b-4)
4b-16-b=17
3b=17+16
3b=33
⇒ b=11
Now put b=11 in a=b-4 we get
a=11-4
⇒ the fraction is a/b=7/11
2/3 is your answer to the question
Answer: Only 21:72:87
Explanation: We know that the side lengths are not simply 7, 24, and 29, as the sum of these is only 60.
Therefore, we need to find the scale factor they were multiplied by to have side lengths with a sum of 180.
We can use 7x+24x+29x=180.
This becomes 60x=180 and the scale factor is x=3.
7*3=21, 24*3=72, and 29*3=87.
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