Find three consecutive integers such that three times the smallest is 14 more than the largest.

unknown values: x-1,x,x+1

equation: 3(x-1)=(x+1)+14

answer: 8; 9; 10

The sum of the positive odd integers less than 100 is subtracted from the sum of the positive even integers less than or equal to 100. What is the resulting difference?

unknown values: x

equation: x = (2+100)*50/2 - (100-1+1)*50/2

answer: 50

The sum of two numbers A and B is 3. The sum of their cubes is 36, What is the sum of their squares decreased by the product of the two numbers?

unknown values: r

equation: a + b = 3

equation: a^3 + b^3 = 36

equation: r = a^2 + b^2 - ab

answer: 12

The sum of two integers is 120. One half the smaller number plus three-fourths the larger number is 80. What is the smaller number?

unknown values: x

equation: x+y=120

equation: (1/2)*x+(3/4)*y=80

answer: 40

if the sum of five consecutive integers is 60, find the value of the largest integer.

unknown values: x+2

equation: (x-2)+(x-1)+x+(x+1)+(x+2)=60

answer: 14

The sum of 5 consecutive integers is 1,000. What is the value of the greatest of these integers?

unknown values: x+2

equation: (x-2)+(x-1)+x+(x+1)+(x+2)=1000

answer: 202

What is the greatest of 5 consecutive integers if the sum of these integers equals 185?

unknown values: x+2

equation: (x-2)+(x-1)+x+(x+1)+(x+2)=185

answer: 39

if the sum of five consecutive positive integers is 2005, then what is the largest of these numbers?

unknown values: x+2

equation: (x-2)+(x-1)+x+(x+1)+(x+2)=2005

answer: 403

The greatest of two consecutive integers is ten greater than twice the lesser. find the integers

unknown values: x,x+1

equation: x+1=10+2*x

answer: -9;-8

the greater of two consecutive integers is 20 more than twice the smaller. find the integers

unknown values: x,x+1

equation: x+1=2*x+20

answer: -19; -18