the sum of 6 times a number (N) and (4) is -30. what is the number?

unknown values: n

equation: 6*n + 4 = -30

answer: -17/3 | -5.667

If x + 3y = 12 and 2/3x - y = 5, what is the value of X?

unknown values: x

equation: x + 3*y = 12

equation: 2/3*x - y = 5

answer: 9

If the average (arithmetic mean) of x, 5x, and 6x is 8, what is the value of x?

unknown values: x

equation: (x + 5*x + 6*x) / 3 = 8

answer: 2

The first and seventh terms in a sequence are 1 and 365 respectively. If each term after the first in the sequence is formed by multiplying the preceding term by 3 and subtracting 1, what is the sixth term?

unknown values: x

equation: a = 3*1 - 1

equation: b = 3*a - 1

equation: c = 3*b - 1

equation: d = 3*c - 1

equation: x = 3*d - 1

answer: 122

What is the sum of the arithmetic sequence 174, 168, 162 ��, if there are 37 terms?

unknown values: s

equation: d = 168-174

equation: b = 174 + (37-1)d

equation: s = (174 + b)*37/2

answer: 2442

I am a number between 400 and 500. My ones digit is 3 more than my tens digit. The sum of my digits is 13. What number am I?

unknown values: n

equation: a = 4

equation: n = 100*a + 10*b + c

equation: c = b + 3

equation: a + b + c = 13

answer: 436

if 7 is added to a quarter of a certain number, the answer is 10. what is the number?

unknown values: x

equation: 7 + 1/4 * x = 10

answer: 12

One half the sum of a number and 2 is equal to one third of the difference of three times the number and six. What is the number?

unknown values: x

equation: 1/2 * (x + 2) = 1/3 * (3*x - 6)

answer: 6

Find the 3 consecutive integers with the sum of 267.

unknown values: x, y, z

equation: x + 1 = y

equation: y + 1 = z

equation: x + y + z = 267

answer: 88; 89; 90

A three digit number grows by 9 if we exchange the second and third digit and grows by 90 if we exchange the first and second digits. By how much would it grow if we exchange the first and third digits?

unknown values: d

equation: m = 100*x + 10*y + z

equation: m + 9 = 100*x + 10*z + y

equation: m + 90 = 100*y + 10*x + z

equation: m + d = 100*z + 10*y + x

answer: 198