One number is four times another, and the sum of the two numbers is 155. what are the two numbers?

A) N1 = 4*N2   OR N1 -4*N2 = 0

B) N1 + N2 = 155 multiplying B) by -1

B) -N1 -N2 = -155 then adding equation A)

A)  N1 -4*N2 = 0  adding the 2 equations

-5*N2 = -155

The numbers are N2 = 31  N1 = 124

Step-by-step explanation:

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!