Question

The larger of two consecutive integers is 10 more than 4 times the smaller. Find the integers.

Answer 1

Answer:

-2 and -3

Step-by-step explanation:

Let L represent the large integer and S represent the smaller integer

Given  Large Integer = 10 + 4 times Smaller Integer

Mathematically:

L = 10 + 4S -------eq 1

It is also given that the integers are consecutive,

hence L = S + 1------ eq2

Now we can solve a system of equations by substitution.

Substitute eq 2 into eq 1

S + 1 = 10 + 4S    (subtract 1 from both sides)

S = 10 - 1 + 4S

S = 9 + 4S  (subtract 4S from both sides)

S - 4S = 9

-3S = 9 (divide both sides by -3)

S = 9 / (-3) = -3  (answer)

form equation 2,

L = S + 1

L = -3 + 1

L = -2 (answer)