`324xx150=54,251xx402=48` and `523xx246=120` then `651xx345=?`

Options

A. 120
B. 85
C. 144
D. 60

Explanation

To solve the problem, we need to identify a pattern or rule that applies to the given equations. Let's analyze the provided equations step by step.

1. **First Equation: 324 xx 150 = 54**
- Calculate the sum of the digits of 324:
- 3 + 2 + 4 = 9
- Calculate the sum of the digits of 150:
- 1 + 5 + 0 = 6
- Now, multiply these sums:
- 9 * 6 = 54
- This matches the result given in the equation.

2. **Second Equation: 251 xx 402 = 48**
- Calculate the sum of the digits of 251:
- 2 + 5 + 1 = 8
- Calculate the sum of the digits of 402:
- 4 + 0 + 2 = 6
- Now, multiply these sums:
- 8 * 6 = 48
- This matches the result given in the equation.

3. **Third Equation: 523 xx 246 = 120**
- Calculate the sum of the digits of 523:
- 5 + 2 + 3 = 10
- Calculate the sum of the digits of 246:
- 2 + 4 + 6 = 12
- Now, multiply these sums:
- 10 * 12 = 120
- This matches the result given in the equation.

Now that we have identified the pattern, we can apply it to the final equation.

4. **Fourth Equation: 651 xx 345 = ?**
- Calculate the sum of the digits of 651:
- 6 + 5 + 1 = 12
- Calculate the sum of the digits of 345:
- 3 + 4 + 5 = 12
- Now, multiply these sums:
- 12 * 12 = 144

Thus, the answer to 651 xx 345 is **144**.