the sum of numerator and denominator is 4 more than twice the numerator if the numerator and dr are increased by 3 they are in ratio of 2:3 determine fraction
Answers
Answered by
100
The fraction is 5/9.
Hope that this will help. CHEERS!!!!
Hope that this will help. CHEERS!!!!
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plz can u solve it by elimination
Answered by
48
Let the fraction be a/b
According to question
a + b = 4 + 2a
b - a = 4
Multiply both sides by 2
2b - 2a = 8 ———-(1)
If numerator and denominator is increased by 3 then their ratio is 2 : 3
(a + 3) / (b + 3) = 2/3
3a + 9 = 2b + 6
3a - 2b = -3 ———(2)
Add equations (1) and (2)
2b - 2a + 3a - 2b = 8 - 3
a = 5
Substitute a = 5 in equation (1)
2b - 2a = 8
2b - 2*5 = 8
2b = 8 + 10
2b = 18
b = 9
Fraction is a/b = 5/9
According to question
a + b = 4 + 2a
b - a = 4
Multiply both sides by 2
2b - 2a = 8 ———-(1)
If numerator and denominator is increased by 3 then their ratio is 2 : 3
(a + 3) / (b + 3) = 2/3
3a + 9 = 2b + 6
3a - 2b = -3 ———(2)
Add equations (1) and (2)
2b - 2a + 3a - 2b = 8 - 3
a = 5
Substitute a = 5 in equation (1)
2b - 2a = 8
2b - 2*5 = 8
2b = 8 + 10
2b = 18
b = 9
Fraction is a/b = 5/9
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