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

22

step-by-step explanation: