To a fraction,if 3 is added to numerator,4 is subtracted from denominator,the fraction becomes 2.if 2 is subtracted only from the demominator,the fraction becomes 5/6 find the fraction.
Answers
When 3 is added to the denominator and 2 is subtracted from the numerator a fraction becomes 1/4.
0
votes
2.3k views
asked Jun 28, 2018 in Class X Maths by priya12 (-12,631 points)
When 3 is added to the denominator and 2 is subtracted from the numerator a fraction becomes 1/4. And, when 6 is added to numerator and the denominator is multiplied by 3, it becomes 2/3. Find the fraction.
Please log in or register to answer this question.
1 Answer
0
votes
answered Jun 28, 2018 by aditya23 (-2,145 points)
Let the numerator be 'a' and denominator be 'b' Given, 3 is added to the denominator and 2 is subtracted from the numerator a fraction becomes 1/4.
⇒ 4a-8=b+3
⇒ 4a-b=11----(1)
Also, when 6 is added to numerator and the denominator is multiplied by 3, it becomes 2/3.
⇒3a+18=2b
⇒a+6=2b----(2)
Multiplying eq2 by 4 and subtracting from eq1
⇒ 4a-b-4a-24=11-8b
⇒ 7b=35
⇒ b=5
Thus, a=4
Fraction is 4/5
Answer:
ok sis I understand.............