Question

The sum of two numbers is 26. Four less than four times the smaller number is equal to the larger number x. Find the larger number.

Answer 1

Hey there!

This question just wants you to create an equation and solve. In this case, the larger number is equal to x. To find the smaller number, we would need to multiply x by 4 and subtract 4 from it. This means that the smaller number is equal to (4x – 4). You add the two numbers, x and (4x – 4), to get 26. Your final equation is:

x + (4x – 4) = 26

Now, just solve. 

x + 4x – 4 = 26
(5x – 4) + 4 = (26) + 4
(5x) ÷ 5 = (30) ÷ 5
x = 6

Finally, just plug in 6 for both numbers to get your answer. 

(6) + (4(6) – 4) = 26
6 + 20 = 26

Your two numbers are 6 and 20. 

Hope this helped you out! :-)