Question

A batsman was having 32 runs per innings as his average after the 15th innings. His average increased by 2 runs after the 16th inning. Then what was his score in the 16th inning?

• A. 64
• B. 60
• C. 46
• D. 62

Hint:

Use total runs before and after: new total minus old total gives the 16th innings score.

Answer 1

The Correct Option is A

Step 1: Set up an equation for the unknown score.
Let $x$ be the runs scored in the 16th innings. The total runs after 16 innings equal the total after 15 innings plus $x$: $15 \times 32 + x$.

Step 2: Write the new average as an equation.
The new average after 16 innings is $32 + 2 = 34$, so the total runs must also equal $16 \times 34$. This gives $15 \times 32 + x = 16 \times 34$.

Step 3: Solve for x.
$480 + x = 544$, so $x = 544 - 480 = 64$.

Final Answer:
Solving the equation directly gives the same score of 64 runs in the 16th innings. \[ \boxed{64} \]