Question
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One number is 4 more than another, and their sum is 60 . What is the smaller number? 28 26

Ask by Allan Brewer. in the United States
Feb 27,2025

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Tutor-Verified Answer

Answer

The smaller number is 28.

Solution

Let the smaller number be x. The larger number is 4 more, so it’s x + 4. Their sum is given as 60, which gives the equation:   x + (x + 4) = 60 Combine like terms:   2x + 4 = 60 Subtract 4 from both sides:   2x = 56 Divide both sides by 2:   x = 28 Thus, the smaller number is 28.

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Beyond the Answer

Let’s break it down like a detective solving a mystery! We can start with two numbers: let’s call the smaller number \( x \). According to the riddle, the mystery number is \( x + 4 \). Together, they sum up to 60, so our equation is \( x + (x + 4) = 60 \). When we combine like terms, we have \( 2x + 4 = 60 \). Subtracting 4 gives us \( 2x = 56 \), and thus dividing by 2 reveals that the smaller number is \( x = 28 \)! Now, here’s a classic mix-up: people often forget to carefully balance the equations during algebraic sleuthing. Make sure to pay attention to each term! When subtracting or combining, mistakes like misplacing values can lead to solving the wrong number. Double-check calculations before declaring your answer, and you’ll become a math detective extraordinaire!

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