Question 930816
The sum of the two numbers is 54. 
a + b = 54
:
If the larger is divided by the smaller, the quotient is 2 and the remainder is 3.
{{{a/b}}} = 2 remainder 3
We can write this as
2b = a - 3
-a + 2b = -3
Arrange equations to use elimination
a + b = 54
-a + 2b = -3
--------------addition eliminates a,. find b
3b = 51
b = 51/3
b = 17
Find a
a + 19 = 54
a = 54 - 17
a = 37
:
find the numbers. 37 & 17