harry and nicky share $120 but Nicky takes $58 more than harry. how much do each person have?

1 answer

Let's denote the amount Harry has as \( H \) and the amount Nicky has as \( N \).

According to the problem, we have two equations:

  1. The total amount shared between Harry and Nicky is: \[ H + N = 120 \]

  2. Nicky takes $58 more than Harry, which gives us: \[ N = H + 58 \]

Now, we can substitute the second equation into the first equation:

\[ H + (H + 58) = 120 \]

This simplifies to:

\[ 2H + 58 = 120 \]

Now, solve for \( H \):

\[ 2H = 120 - 58 \] \[ 2H = 62 \] \[ H = 31 \]

Now that we have \( H \), we can find \( N \):

\[ N = H + 58 = 31 + 58 = 89 \]

So, Harry has $31 and Nicky has $89.

Therefore, the final amounts are:

  • Harry: $31
  • Nicky: $89