The difference of two numbers is 67. The larger number is three less than six times the smaller number. Find the numbers.

The difference of two numbers is 67. The larger number is three less than six times the smaller number. Find the numbers.

unknown values: x,y

equation: x - y = 67

equation: x = 6*y - 3

answer: {81; 14}

Find a number that is 32 more than its opposite

unknown values: n

equation: n = -1 * n + 32

answer: 16

the sum of a number and three times that number is 720. what is the number

unknown values: x

equation: x + 3*x = 720

answer: 180

The sum of a number and seven times the number is 112. What is the number?

unknown values: x

equation: x + 7*x = 112

answer: 14

find five consecutive odd integers such that the sum of the first and fifth is one less than three times the fourth

unknown values: 2*k+1,2*k+3,2*k+5,2*k+7,2*k+9

equation: (2*k+1) + (2*k+9) = 3(2*k+7) - 1

answer: -9; -7; -5; -3; -1

find 5 consecutive odd integers such that the sum of the first and fifth is one less than three times the fourth

unknown values: 2*k+1,2*k+3,2*k+5,2*k+7,2*k+9

equation: (2*k+1)+(2*k+9) = 3(2*k+7)-1

answer: -9; -7; -5; -3; -1

What number, when added to the number three or multiplied to the three, gives the same result?

unknown values: n

equation: n + 3 = 3*n

answer: 3/2 | 1.5

what is the sum of the first 100 odd numbers

unknown values: s

equation: b = 1 + (100-1)*2

equation: s = (1+b)*100/2

answer: 10000

What is the sum of the first 500 odd numbers?

unknown values: x

equation: n = 1 + (500-1)*2

equation: x = (1+n)*500/2

answer: 250000

If 9n^2 - 30n + c is a perfect square for all integers n, what is the value of c?

unknown values: c

equation: 30^2 = 4 * 9 * c

answer: 25