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When M is divided by 15, it leaves a quo...

When M is divided by 15, it leaves a quotient of 9 and a remainder of 14. What is the value of M?

A

149

B

143

C

153

D

147

Text Solution

AI Generated Solution

The correct Answer is:
To find the value of \( M \) when it is divided by 15, leaving a quotient of 9 and a remainder of 14, we can use the formula for division: \[ M = (\text{Divisor} \times \text{Quotient}) + \text{Remainder} \] ### Step-by-Step Solution: 1. **Identify the values**: - Divisor = 15 - Quotient = 9 - Remainder = 14 2. **Substitute the values into the formula**: \[ M = (15 \times 9) + 14 \] 3. **Calculate the product of the divisor and the quotient**: \[ 15 \times 9 = 135 \] 4. **Add the remainder to the product**: \[ M = 135 + 14 \] 5. **Calculate the final value of \( M \)**: \[ M = 149 \] Thus, the value of \( M \) is \( 149 \).
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