The sum of two numbers is 49. the sum of the larger number and twice the smaller number is 70. what are the numbers?

21 and 28

Step-by-step explanation:

1) calling the smaller number x and the larger y we can write two equations.

x+y=49 and y+2x=70

2) by reordering the first to read x = 49-y we can then plug it in as the x in the second equation.

y+2 (49-y) = 70

3) we can then distribute

y+98-2y = 70

and then simplify

y=28

4) then we need to plug y back into the first equation to find the value of x

x + (28) = 49

-28 - 28

x = 21

5) the numbers are 21 and 28