the sum of three consecutive odd integers is the same as five times the greatest of these integers. what are the integers?

unknown values: 2*k+1,2*k+3,2*k+5

equation: (2*k+1)+(2*k+3)+(2*k+5) = 5(2*k+5)

answer: -7; -5; -3

Evaluate 3x + 7 when x = -3.

unknown values: y

equation: x = -3

equation: y=3*x+7

answer: -2

The sum of two numbers is 6 less than twice the first number. Their difference is 10 less than four times the second number. Find each of the numbers

unknown values: x,y

equation: x + y = 2*x - 6

equation: x - y = 4*y - 10

answer: 10;4

the sum of 2 numbers is 15 less than twice the first number. their difference is 5 less than twice the second number. find each of the numbers

unknown values: m,n

equation: m+n = 2*m - 15

equation: m-n = 2*n - 5

answer: 25; 10

eight less than half a number is seven more than two thirds of the number. find the number

unknown values: x

equation: x/2-8=2/3*x+7

answer: -90

the sum of the digits of a two digit number is 12. if the digits are reversed, the number is 15 more than twice the original number. What is the original number?

unknown values: n

equation: n = 10*x + y

equation: x+y=12

equation: 10*y+x=2*(10*x+y)+15

answer: 39

The larger of two numbers is 2 more than twice the smaller. Ten times the smaller number is 2 less than 4 times the larger number. Find the 2 numbers.

unknown values: x,y

equation: x = 2*y+2

equation: 10*y = 4*x-2

answer: {3; 8}

A man wanted to get into his work building, but he had forgotten his code. However, he did remember five clues. These are what those clues were:The fifth number plus the third number equals fourteen.The fourth number is one more than the second number.The first number is one less than twice the second number.The second number plus the third number equals ten.The sum of all five numbers is 30.What were the five numbers and in what order?

unknown values: a,b,c,d,f

equation: f+c=14

equation: d=b+1

equation: a=2*b-1

equation: b+c=10

equation: a+b+c+d+f=30

answer: 7;4;6;5;8

find three consecutive even integers such that four times the second is eight less than the third.

unknown values: 2*k,2*k+2,2*k+4

equation: 4*(2*k+2)=2*k+4-8

answer: -4;-2;0

20% of the number is 3. Find the number?

unknown values: x

equation: 0.2*x = 3

answer: 15