ANSWER:
the bigger number is 30
the smaller number is 26
WORK:
Okay, so to solve this set up two equations.
let's use y and x as these numbers.
x + 4 = y (because a number, y, is 4 more than the first, x.)
x + y = 56 (becasue the sum of the numbers is 56).
now, solve for x by placing the first inequality into the second.
x + (x + 4) = 56 combine like terms
2x + 4 = 56 subract 4 from both sides to isolate x
2x = 52 divide to isolate x
x = 26
So the smaller number has a value of 26. Remeber that the sum of the numbers is 56, so to find y, subtract the value of x from 56.
56 - 26 = 30
so the bigger number has a value of 30.
We know that the answer is right because the numbers add up to 56, and the value of y, 30 is 4 more than the value of x 26.
Hope this helps and have a great day!
