the sum of numerator and denominator of a fraction is 12.lf the denominator is increased by 3 then the fraction become 1/2 find the fraction elimination method and the substation method
Answers
Step-by-step explanation:
Thoda Thoda Yad aaega To Bata Denge theek hai mera naam
Answer:
The required fraction is F=\frac{5}{7}
Step-by-step explanation:
Given : The sum of the numerator and denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes 1/2.
To find : What is the fraction?
Solution : Let the fraction is F=\frac{x}{y}
→ The sum of the numerator and denominator of a fraction is 12.
x+y=12
\Rightarrow x=12-y .........[1]
→ If the denominator is increased by 3, the fraction becomes 1/2.
\frac{x}{y+3}=\frac{1}{2}
\Rightarrow 2x=y+3 .........[2]
Put the value of x from [1] in [2]
2(12-y)=y+3
\Rightarrow 24-2y=y+3
\Rightarrow 3y=21
\Rightarrow y=7
Put back the value of y in [1]
x=12-7
\Rightarrow x=5
Therefore, The required fraction is 5/7.