Answer:
smaller number = 14
larger number = 21
Step-by-step explanation:
Let x be the smaller number and y the larger number.
x + y = 35
y = x + 7
Substitute the second equation to the first equation.
x + (x + 7) = 35
x + x + 7 = 35
2x + 7 = 35
2x = 35 - 7
2x = 28
x = 28 ÷ 2
x = 14
Solve for y:
y = x + 7
y = 14 + 7
y = 21
Now check.
x + y = 35
14 + 21 = 35
35 = 35 (correct)
