Question

3.3.31

Answer 1

Answer:

Larger number = 6.

Smaller number = 2.

Step-by-step explanation:

Let the  lower number be x then the other number = 8-x.

Also;

5(8 - x) + 4x = 38

40 - 5x + 4x = 38

-x = -2

x = 2 = lower number.

Larger number = 8 - 2 = 6.

Answer 2

Answer:

6 and 2

Step-by-step explanation:

let the 2 numbers be x and y with x > y, then

x + y = 8 → (1)

5x + 4y = 38 → (2)

Rearrange (1) expressing x in terms of y by subtracting y from both sides

x = 8 - y → (3)

Substitute x = 8 - y into (2)

5(8 - y) + 4y = 38 ← distribute and simplify left side

40 - 5y + 4y = 38

40 - y = 38 ( subtract 40 from both sides )

- y = - 2 ( multiply both sides by - 1 )

y = 2

Substitute y = 2 into (3) for corresponding value of x

x = 8 - 2 = 6

The larger number is 6 and the smaller number is 2