the pyramid of number is greater than its numerator by 7 3 subtracted from the numerator and 2 is added to its denominator the new number becomes 1 by 5 find the rational number
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Given:
The denominator of a rational number is greater than its numerator by 7.If 3 subtracted from the numerator and 2 is added to its denominator the new number becomes 1 by 5.
To find:
The original rational number.
Explanation:
Let the numerator of given rational number be R &
then denominator be (R+7)
∴ The original fraction=
If numerator decreased by 3
→ R-3
If denominator increased by 2
→ R+7+2
→ R+9
∴ New number becomes= 1/5
According to the question:
⇒
[cross-multiplication]
⇒ 5(R-3)= 1(R+9)
⇒ 5R - 15= R+9
⇒ 5R -R = 9+15
⇒ 4R = 24
⇒ R=
Thus,
The original number is
The original number is 6/13.
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