Find 3 consecutive integers whose squares add up to 110.

Find 3 consecutive integers whose squares add up to 110.

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

equation: (x-1)*(x-1)+x*x+(x+1)*(x+1)=110

answer: 5; 6; 7 or -7; -6; -5

The product of two consecutive integers is 8 less than 8 times their sum. Find the integers

unknown values: x,x+1

equation: x(x+1)+8=8(x+x+1)

answer: 15; 16 or 0; 1

Find the two consecutive integers whose product exceeds their sum by 19.

unknown values: x,x+1

equation: x*(x+1)=x+x+1+19

answer: 5;6 or -4;-3

the product of two consecutive integers is 71 more than their sum. Find the integers.

unknown values: x,x+1

equation: x(x+1)-71=x+x+1

answer: 9; 10 or -8; -7

the product of two consecutive positive integers is 41 more than their sums. find the integers

unknown values: x,x+1

equation: x(x+1)=(x+(x+1))+41

answer: 7; 8

THE PRODUCT OF TWO CONSECUTIVE INTEGERS IS 71 MORE THAN THE SUM. FIND THE INTEGERS

unknown values: x,x+1

equation: x(x+1)=x+x+1+71

answer: 9; 10 or -8; -7

The sum of three consecutive odd integers is 5 less than twice the smallest integer. What's the smallest and largest integer?

unknown values: 2*k-1,2*k+3

equation: (2*k-1)+(2*k+1)+(2*k+3)=2*(2*k-1)-5

answer: -11; -7

When the first of two numbers is added to twice the second the result is 21, but when the second number is added to twice the first the result is 18. Find the two numbers.

unknown values: x,y

equation: x+2*y=21

equation: y+2*x=18

answer: 5; 8

The larger of two numbers is four times the smaller. If their difference is eighteen, find the numbers.

unknown values: x,y

equation: y=4*x

equation: y-x=18

answer: {6; 24}

Find three consecutive odd integers such that twice the first, decreased by the second is 35.

unknown values: 2*k-1,2*k+1,2*k+3

equation: 2*(2*k-1)-(2*k+1)=35

answer: 37; 39; 41