Pls answer ASAP. Need 4 clearance
Answer:
2) 14
3)The two numbers are 11 and 9
4)The two numbers are 18 and 12
Step-by-step explanation:
2)The sum of three consecutive even numbers is 42. What is the middle number?
Equation:
x + (x + 2) + (x + 4) = 42
3x + 6 = 42
3x = 42 – 6
3x = 36
x = 12
first integer x, = 12
Second integer x + 2, = 12 + 2 = 14(Answer)
Third integer x + 4, 12 + 4 = 16
3) the sum of two numbers is 20. One number is 7 less than twice the other number. What are the two numbers?
Let x = the number
y = the other number
Equation 1: x + y = 20
Equation 2: x = 2y – 7
x + y = 20
(2y – 7) + y = 20
3y – 7 = 20
3y = 20 + 7
3y = 27
y = 9
x + y = 20
x + (9) = 20
x = 20 – 9
x = 11
___Answer____ The two numbers are 11 and 9
4)The sum of two numbers is 30 and their difference is 6. What are the two numbers?
Let x = the number
y = the other number
Equation1: x + y = 30
Equation2: x – y = 6
x + y = 30
x – y = 6
_________
2x = 36
x = 18
x + y = 30
18 + y = 30
y = 30 – 18
y = 12
___Answer___ The two numbers are 18 and 12
