<PRE><B>Question 730078</B>
The larger of two numbers is 6 less than twice the smaller number. If their total is 27, find both numbers ?


Let the larger number be x.

Let the smaller number be y

Therefore:

x + y = 27

y = 27 - x

x = 2y - 6

x = 2(27 - x) - 6

x = 54 - 2x - 6

54 - 6 = 48

x = 48 - 2x

Add 2x to each side of the equation.

x + 2x = 48 - 2x + 2x

3x = 48

x = 16

y = 27 - 16

y = 11


Answer:

x = 16 and

y = 11




Lennox Obuong
Algebra Tutor
Nairobi, Kenya</PRE>