Q.12 The numerator of a rational number is 3 less than its denominator . If numerator is increased by 1 and denominator is increased by 3 then the number becomes 1 /2 Find the rational number.
Answers
Answered by
44
Step-by-step explanation:
n = d-3
{n+1}/d+3 = 1/2
2n+2 = d+3
2n-1 = n+3
n=4
d =7
4/7 answer...
Answered by
102
☯ Let's consider that the Denominator be x.
⠀⠀⠀
Given that,
- The numerator of a rational number is 3 less than its denominator.
⠀⠀⠀
Therefore,
⠀⠀
⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━
⠀⠀⠀
⠀⠀⠀
- If numerator is increased by 1 and denominator is increased by 3 then the number becomes 1/2.
⠀⠀⠀
⠀⠀⠀⠀━━━━━━━━━━━━━━━━━
⠀⠀⠀
Hence,
⠀⠀⠀
- Denominator, x = 7
- Numerator (x - 3), (7 - 3) = 4
⠀⠀⠀
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