Question

If Ajay gives Vijay ₹5, Ajay would have twice as much as Vijay. If Vijay gives Ajay ₹15, Ajay would have 8 times as much as Vijay. How much does Ajay have?

Answer 1

Ajay has `₹65`.

Explanation:

Let Ajay's amount be `x` and Vijay's amount be `y`,

When Ajay gives Vijay `₹5`,
`x-5=2(y+5)`
`x-5=2y+10`
`color(white)(xxx)x=2y+15-①`

When Vijay gives Ajay `₹15`,
`x+15=8(y-15)`
`x+15=8y-120`
`color(white)(xxx.)x=8y-135-②`

`①=②`,
`2y+15=8y-135`
`color(white)(xxx.)6y=150`
`color(white)(xxx...)y=25`

When `y=25`,
`x=2(25)+15`
`color(white)(x)=65`