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Two players A and B together scored 500 ...

Two players A and B together scored 500 runs in a cricket match.
(i) Find the linear equation satisfying the data.
(ii) If player B scored 225 runs, then how much runs player A scored?

A

`{:("(i)","(ii)"),(2x+y=500,275):}`

B

`{:("(i)","(ii)"),(x+y=500,275):}`

C

`{:("(i)","(ii)"),(2x+y=100,225):}`

D

`{:("(i)","(ii)"),(x+2y=500,280):}`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, let's break it down: ### Step 1: Define the Variables Let: - \( x \) = runs scored by player A - \( y \) = runs scored by player B ### Step 2: Formulate the Linear Equation According to the problem, the total runs scored by both players A and B together is 500. Therefore, we can write the equation as: \[ x + y = 500 \] ### Step 3: Substitute the Value for Player B's Runs We are given that player B scored 225 runs. Therefore, we can substitute \( y \) with 225 in the equation: \[ x + 225 = 500 \] ### Step 4: Solve for Player A's Runs Now, we will solve for \( x \): \[ x = 500 - 225 \] \[ x = 275 \] ### Conclusion Player A scored 275 runs. ### Summary of Steps: 1. Define the variables for runs scored by A and B. 2. Write the linear equation based on the total runs. 3. Substitute the known value of runs scored by player B. 4. Solve for the runs scored by player A.
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