the sum of two numbers is 22. three times one number increased by five is 35

Question

a. what are the equations you would use? _ and _
b. what are the two numbers? _ and _

3x=35, 8, 12, x-y=22,10,x+y=22,3x+5=35,14,x+8=35

Answer 1

a. The two equations that can be used are:

1) x + y = 22 (sum of two numbers is 22)
2) 3x + 5 = 35 (three times one number increased by five is 35)

b. Solving the equations, we find the two numbers:

From equation 1, we can write y = 22 - x.

Substituting this value of y in equation 2, we get:
3x + 5 = 35
3x = 35 - 5
3x = 30
x = 30/3
x = 10

Substituting the value of x in equation 1, we get:
10 + y = 22
y = 22 - 10
y = 12

So, the two numbers are 10 and 12.