Question

James and Reggie both collect old coins. Together, they have a total of 60 coins. If James would agree to give 1/4 of his coins to Reggie, they would then have exactly the same number of coins. How many more cons does James have (compared to the number of coins Reggie has)?

Answer 1

James has 20 more coins than Reggie

Explanation:

Given:

Total number of coins with James and Reggie = 60

If James would agree to give 1/4 of his coins to Reggie, they would then have exactly the same number of coins

To find: number of coins with James and Reggie

Solution:

Let x denote number of coins with James and y denote number of coins with Reggie.

According to question,

`x+y=60\\x-(x)/(4) =y+(x)/(4) \\x-y=(2x)/(4) \\x=2y`

Put
`x=2y` in
`x+y=60`

`2y+y=60\\3y=60\\y=(60)/(3)=20\\ x=2y=2(20)=40`

So,

number of coins with James = 40

number of coins with Reggie = 20

James has 20 more coins than Reggie