the difference of two numbers is tripled. the result is decreased by 1. If the lesser of the two numbers is 4, and the result is 8.3. Find the greater number x.

unknown values: x

equation: 3(x - y) - 1 = 8.3

equation: y = 4

answer: 7.1

If (x + 2)^2 equal 9, what is the value of (x + 1)(x + 3)?

unknown values: m

equation: (x + 2)^2 = 9

equation: m = (x + 1) * (x + 3)

answer: 8

half m increased by 7+1/2 is 14. Find m.

unknown values: m

equation: m/2 + 7 + 1/2 = 14

answer: 13

What is the average value of 86, 74, 79, 62, 74?

unknown values: x

equation: x = (86+74+79+62+74) / 5

answer: 75

43 is 11 less than 5/8 times a number p. Find p.

unknown values: p

equation: 43 = 5/8 * p - 11

answer: 432/5 | 86.4

find three consecutive integers, the sum of whose squares is 59 more than three times the square of the smallest.

unknown values: x, y, z

equation: x + 1 = y

equation: y + 1 = z

equation: x^2 + y^2 + z^2 = 59 + 3*x^2

answer: 9; 10; 11

What is the difference between 126+1/4 and 78+2/3?

unknown values: x

equation: x = (126+1/4)- (78+2/3)

answer: 571/12 | 47.583

The larger of two numbers is one more than twice the smaller. The sum of the numbers is 20 less than 3 times larger? Find the numbers.

unknown values: x, y

equation: x = 2*y + 1

equation: x + y = 3*x - 20

answer: {13; 6}

find three consecutive odd integers such that twice the sum of the first and the second is equal to four times the sum of the second and the third.

unknown values: x, y, z

equation: x + 2 = y

equation: y + 2 = z

equation: 2(x + y) = 4(y + z)

answer: -5; -3; -1

The difference between one-half of a number and one-sixth of the number is equal to ten more than one-eighth of that number. Find the number.

unknown values: x

equation: 1/2 * x - 1/6* x = 1/8 * x + 10

answer: 48