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

The sum of the digits of a 2-digit is 10. If the digits are reversed the new is 18 less than the original. What is the answer?

unknown values: m

equation: m = 10*x + y

equation: x + y = 10

equation: 10*y + x = m - 18

answer: 64

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

Find four consecutive odd integers so that the sum of smallest integer and the largest integer is the same as the sum of the four integers?

unknown values: x, y, z, m

equation: x + 2 = y

equation: y + 2 = z

equation: z + 2 = m

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

answer: -3; -1; 1; 3

Find two numbers so that twice their sum equals their product and one number is 9 times the other number. Enter the smaller number first.

unknown values: x, y

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

equation: y = 9*x

answer: 20/9; 20 or 0; 0 | 2.222; 20 or 0; 0

What is the product of 3+2/3 and 14+2/5?

unknown values: x

equation: x = (3+2/3) * (14+2/5)

answer: 264/5 | 52.8

When the product of 1/3 and 1/2 is subtracted from the sum of 1/3 and 1/2, what is the difference?

unknown values: x

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

answer: 2/3 | 0.667