a number is 10 greater than 1/4 another number. if the sum is 20 find the numbers

Question

10 greater than 1/4  number. The sum is 20

 

Answer 1

Let's solve this question using algebra. If we set N equal to "another number", then "a number" is 10 + 0.25N. The sum of these numbers is 20, so our algebra equation is N + 10 + 0.25N = 20. Here's the solution to the equation:

• N + 10 + 0.25N = 20 (original equation)
• 1.25N + 10 = 20 (add the N terms together)
• 1.25N + 10 - 10 = 20 - 10 (subtract 10 from both sides)
• 1.25N = 10 (add up the numbers on both sides)
• 1.25N/1.25 = 10/1.25 (divide both sides by 1.25)
• N = 8 (simplify)

 

Thus, the final solution to that number is N = 8. If we restate the answer in terms of the original question...

 

"a number [12] is 10 greater than 1/4 another number [8]"

 

...which is mathematically correct.