Question

the sum of two numbers is 35. the smaller number is 21 less than the larger number. What are the numbers?​

Answer 1

Answer:

28+7= 35

28 and 7 are the numbers

Answer 2

Answer:

$\huge\boxed{28\ and\ 7}$

Step-by-step explanation:

$x-\text{the bigger number}\\(x-21)-\text{the smaller number}\\35-\text{the sum of numbers}\\x+(x-21)-\text{the sum of numbers}\\\\\text{The equation:}\\\\x+x-21=35\qquad\text{add 21 to both sides}\\\\x+x-21+21=35+21\\\\2x=56\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{56}{2}\\\\x=28\to x-21=28-21=7$