1. Let the number of hits by Sanchez be S and the number of hits by Washington be W.
2. According to the problem, Washington had 14 more hits than Sanchez:
W = S + 14
3. The combined total number of hits is 262:
S + W = 262
4. Substitute the expression for W from step 2 into step 3:
S + (S + 14) = 262
5. Simplify the equation:
2S + 14 = 262
6. Subtract 14 from both sides:
2S = 248
7. Divide by 2:
S = 124
8. Using the value of S , find W :
W = S + 14 = 124 + 14 = 138
\text{Washington} = 138 \text{ hits}, \quad \text{Sanchez} = 124 \text{ hits}