Question

One number is five times another number. Their sum is 42. What are the two numbers?

Answer 1

Answer:

7 and 35

Step-by-step explanation:

Let one number be x and the other number be y

"one number is five times another number"

Expressed mathematically: y = 5x --- -eq 1

"their sum is 42"

Expressed mathematically : x + y = 42 ------ eq2

Now we have a system of equations with 2 equations and 2 unknowns, we can solve this easily by substitution

From equation 2,

x + y = 42   (substitute eq 1 into eq 2)

x + (5x) = 42

6x = 42   (divide both sides by 6)

x = 42/6 = 7 (answer)

substituting this back into equation 1:

y = 5x

y = 5(7)

y = 35 (answer)

Answer 2

Answer:

7

Step-by-step explanation:

x+5x=42