Question

Gurnam and Akhtar have some money with them. Gurnam says to Akhtar, if you give me Rs40, my money will be three times the money left with you. Represent this situation as a linear equation in two variables. Also find two solutions for this equation.

Answer 1

let x be money of gurnam

y be money of akhtar

ATQ

x+40 = 3 (y-40)

x+40 = 3y - 120

x-3y = -160

3y - x = 160

it is impossible to get solution with just one equation

Answer 2

$x=3y-160$

(50,70)

(149,103)

Step-by-step explanation:

Let Gurnam's amount be x and Akhtar's amount be y.

Gurnam says to Akhtar, if you give me Rs40, my money will be three times the money left with you.

So, Gurnam's amount after getting Rs.40 = x+40

Akhtar's amount after giving Rs.40 = y-40

So, ATQ

$x+40=3(y-40)$

$x+40=3y-120$

$x=3y-120-40$

$x=3y-160$

So, this situation as a linear equation in two variable is $x=3y-160$

Two solution for this equations

At y = 70

x=3(70)-160

x=50

(50,70)

At y = 103

x=3(103)-160

x=149

(149,103)

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