Linear Equation in 2 variables

Algebra Level 1

x y \frac { x }{ y } The sum of numerator and denominator is 18. If 9 is added to numerator then it will become 1 less than 3 times the denominator. Find the fraction and enter the product of numerator(x) and denominator (y)


The answer is 77.

Ankit Vijay by Ankit Vijay , 22, India

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2 solutions

Hello,

let n = numerator , d = denominator,

as n + d = 18,

n = 18 - d (1st),

n + 9 = 3d - 1(2nd),

substitute(1st) into (2nd),

18 - d + 9 = 3d - 1

4d = 28

d = 7, n 18 - 7 = 11 ,

therefore n / d = 11 / 7 ,then d x n = 7 x 11 = 77,

thanks...

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Sum of numerator and denominator is 18 So, x+y = 18 Second equation is (x+9) = 3y -1 Solving both the equations we get x=11 and y=7 So xy= 11*7 = 77

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