What is the sum of five consecutive odd integers if the middle integer is 71?

unknown values: m

equation: x + 2 = y

equation: y + 2 = 71

equation: 71 + 2 = z

equation: z + 2 = a

equation: m = x + y + 71 + z + a

answer: 355

A number plus five, divided by two, added to the quotient of that same number minus one, divided also by two, has a sum of that number minus one, divided by three.

unknown values: x

equation: (x + 5) / 2 + (x - 1) / 2 = (x -1) / 3

answer: -7/2 | -3.5

Find 2 numbers whose difference is 10 and 1/6 of whose sum is 11.

unknown values: x, y

equation: x - y = 10

equation: 1/6 * (x + y) = 11

answer: {38; 28}

Take a number, multiply it by 8, subtract 8, divide by 12, and double the quotient. the result is 20. what is the number?

unknown values: x

equation: ((8*x - 8) / 12)*2 = 20

answer: 16

3 times the first of three consecutive numbers is 4 more than 2 times the second. Find the numbers.

unknown values: x, y, z

equation: x + 1 = y

equation: y + 1 = z

equation: 3*x = 2*y + 4

answer: 6; 7; 8

If the average of 4 and x is equal to the average of 2, 8, and x, what is the value of x?

unknown values: x

equation: (4 + x) / 2 = (2 + 8 + x) / 3

answer: 8

in a sequence of 5 integers the third integer is the sum of the previous two. The fourth integer is the sum of the previous three and the fifth integer is the sum of the previous four. If the sum of the five integers is 248, what's the third integer in the sequence.

unknown values: x

equation: x = m + n

equation: y = m + n + x

equation: z = m + n + x + y

equation: m + n + x + y + z = 248

answer: 31

what is 8% of 2,000.

unknown values: x

equation: x = 2000 * 0.08

answer: 160

what's 8% of 5.00?

unknown values: x

equation: x = 0.08 * 5

answer: 0.4

what two digit number is three times the sum of its digits?

unknown values: n

equation: n = 10*x + y

equation: 10*x + y = 3(x + y)

answer: 27