High School

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 equation that represents the situation.

Answer :

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


Other Questions