The sum of theee consecutive numbers is 90. what is the smallest of the three numbers?

29

Note that consecutive numbers have a difference of 1 between them.

let n be the smallest integer then the three integers can be expressed as

n, n + 1 , n + 2

the sum is then

n + n + 1 + n + 2 = 90

3n + 3 = 90

subtract 3 from both sides of the equation

3n = 90 - 3 = 87

divide both sides by 3

n = = 29

the three integers are 29, 30, 31 → the smallest is 29

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

answer: 298143

step-by-step explanation: