Problema Solution
Two numbers differ by 6. If the numbers are squared and then added, then the result is 146. What are the numbers?
Answer provided by our tutors
Let the numbers are a and b
a-b=6 ---------------1
square it a^2+b^2-2ab=36 -------------2
given that
a^2+b^2=146 ----------------------3
Substract 2 from 3
2ab=110
or ab=55 ----------------------4
solving 1 and 4
a=11 and b=5
so the numbers are 11 and 5