Question

Ganesh and vaibhav have together rs 72 One fifth of the amount with ganesh is equal to one fourth of the amount wuth vaibhav Find the amount with each other​

Answer 1

Ganesh's amount x is Rs.40 and Vaibhav's amount y is Rs.32

Therefore the amount are x=40 and y=32

Step-by-step explanation:

Given that Ganesh and Vaibhav's have amount together is Rs.72

Let Ganesh's amount be x and Vaibhav's amount be y

Hence we can write $x+y=72\hfill (1)$

and One-fifth of the amount with Ganesh is equal to one-fourth of the amount with Vaibhav.

We may write it as $\frac{1}{5}x=\frac{1}{4}y$

• $\frac{1}{5}x-\frac{1}{4}y=0$
• $\frac{4x-5y}{20}=0$
• $\frac{4x-5y}{20}\times 20=0\times 20$
• $4x-5y=0\hfill (2)$

Now solving the two equations

Multiply the equation (1) into 4 we get $4x+4y=288\hfill (3)$

Subtracting the equations (2) and (3)

$4x-5y=0$

$4x+4y=288$

___(-)__(-)__(-)______

$-9y=-288$

$y=\frac{288}{9}$

$y=32$

• Substitute y=32 in equation (1) we have
• x+32=72
• x+32-32=72-32
• x=40
• Therefore the amount are x=40 and y=32

∴ Ganesh's amount x is Rs.40 and Vaibhav's amount y is Rs.32