The product of 3 and a number is equal to 60 more than the number. What is the number?

Rationale

The number is 30.

To solve the equation, we set up the expression where the product of 3 and the unknown number (let's call it x) equals 60 more than the number itself: 3x = x + 60. Solving this gives us x = 30.

A (15) YOUR ANSWER

If we substitute 15 into the equation, we calculate 3 times 15, which equals 45. However, 60 more than 15 is 75, thus 45 does not equal 75, making this choice incorrect.

B (20) YOUR ANSWER

Substituting 20 into the equation, we find that 3 times 20 equals 60. However, 60 more than 20 is 80, and since 60 does not equal 80, this option is also incorrect.

C (25) YOUR ANSWER

For the number 25, calculating 3 times 25 gives us 75. Yet, 60 more than 25 amounts to 85, which means 75 does not equal 85, thus this choice is incorrect as well.

D (30) CORRECT

When we substitute 30 into the equation, we compute 3 times 30, which equals 90. Additionally, 60 more than 30 is also 90, confirming that both sides of the equation are equal, making this the correct choice.

Conclusion

The problem requires finding a number where its tripled value equals itself plus 60. Through algebraic manipulation, it becomes clear that the number is 30, as it satisfies the equation perfectly. The other choices fail to meet the criteria, demonstrating that careful evaluation of the initial equation is essential for determining the correct answer.

The product of 3 and a number is equal to 60 more than the number. What is the number?

The number is 30.

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