Question 32

The number is 30.

To find the number that satisfies the equation where the product of 3 and the number equals 60 more than the number, we can represent the unknown number as \( x \). The equation can be set up as \( 3x = x + 60 \). Solving this gives \( x = 30 \).

A) 15

Option A is incorrect because substituting 15 into the equation results in \( 3 \times 15 = 45 \), which does not equal \( 15 + 60 = 75 \). Therefore, 15 does not satisfy the condition of the problem.

B) 20

Option B is also incorrect. If we substitute 20 into the equation, we have \( 3 \times 20 = 60 \), which does not equal \( 20 + 60 = 80 \). Thus, 20 does not meet the criteria of the problem.

C) 25

Option C is incorrect as well. Plugging 25 into the equation yields \( 3 \times 25 = 75 \), which is not equal to \( 25 + 60 = 85 \). Hence, 25 fails to satisfy the equation.

D) 30

Option D is correct. Substituting 30 into the equation gives \( 3 \times 30 = 90 \), which equals \( 30 + 60 = 90 \). Therefore, 30 meets the requirement stated in the problem.

Conclusion

The correct answer is 30 because it satisfies the equation derived from the problem statement, while all other options do not fulfill the equation's requirements. This illustrates the importance of correctly setting up and solving algebraic expressions to find the right solution.