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)
