Question

The sum of two numbers is 55 . The larger number is eleven more than the smaller number . Find the two numbers by writing an algebraic equations that represents the situation

Answer 1

Let x be the greater number and y the smallest:

x + y = 55
but x = y +11 then

y + 11 + y = 55

2y = 44
y = 22. Plug in and you will find x = 33

so the 2 numbers are 33 and 22

Answer 2

..2x+11=55
x=22
..x+y=55
22+y=55
y=33
y the largest,x the smallest