In a certain number of innings, the average runs scored by a batsman were 34. He scored 119 runs in the next innings and his average to 39. What is the total number of innings played by the batsman?

To solve this problem, we need to follow these steps:

1. Let's denote the initial number of innings as 'x'. The total runs scored in these innings would be 34x (since the average was 34).

2. After the next innings, the total runs become 34x + 119.

3. The new average after this innings is 39, so the total runs (34x + 119) divided by the total number of innings (x + 1) should be equal to 39.

4. Setting up the equation, we get: (34x + 119) / (x + 1) = 39.

5. Solving this equation for 'x', we get: x = 6.

So, the batsman played 6 innings initially. Including the next innings where he scored 119, the total number of innings played by the batsman is 6 + 1 = 7.

Sure, let's solve this step by step:

Step 1: Let's denote the initial number of innings as 'x'. The total runs scored in these innings would be 34x (since the average was 34).

Step 2: After scoring 119 runs in the next innings, the total runs become 34x + 119.

Step 3: This new total run is now spread over 'x+1' innings (since he played one more innings), and the new average is 39.

Step 4: We can set up the equation for the new average: (34x + 119) / (x + 1) = 39.

Step 5: Solving this equation will give us the value of 'x'.

Let's solve it:

34x + 119 = 39x + 39 119 - 39 = 39x - 34x 80 = 5x x = 80 / 5 x = 16

So, the batsman had initially played 16 innings. After the next innings, the total number of innings played by the batsman is 16 + 1 = 17.