the difference of two integers is 9. five times the smaller is 9 more than three times the larger. find the integers.

unknown values: x, y

equation: y = x - 9

equation: 5(x-9)=9+3*x

answer: {27; 18}

find two consecutive even integers such that five times the smaller integer is ten more than three times the larger integer

unknown values: x, x+2

equation: 3(x+2) = 5*x - 10

answer: 8; 10

Find four consecutive odd integers such that the sum of the first and fourth is 55 greater than the opposite of the third

unknown values: 2*k-1, 2*k+1, 2*k+3, 2*k+5

equation: 2*k-1+2*k+5=55-(2*k+3)

answer: 15; 17; 19; 21

The least of 3 consecutive integers is divided by 10, the next is divided by 17, and the greatest is divided by 26. What are the numbers if the sum of the quotients is 10?

unknown values: x,x+1,x+2

equation: x/10+(x+1)/17+(x+2)/26=10

answer: 50;51;52

find the 3 consecutive integers such that one half of their sum is 90.

unknown values: x, x+1,x+2

equation: (x+x+1+x+2)/2=90

answer: 59; 60; 61

suppose you have three consecutive integers. The greatest of the three integers is twice as great as the sum of the first two. What are the integers?

unknown values: x, x+1, x+2

equation: x+2=2*(x+x+1)

answer: 0; 1; 2

what is the 3 consecutive even integers such that the largest is 3 times the smallest

unknown values: 2*k, 2*k+2, 2*k+4

equation: 2*k+4=3*2*k

answer: 2; 4; 6

find three consecutive even integers such that their sum decreased by the third integer is 82

unknown values: 2*k, 2*k+2, 2*k+4

equation: 2*k+2*k+2+2*k+4-(2*k+4)=82

answer: 40; 42; 44

Consider four consecutive integers. What is the sum of the 2nd and fourth numbers if the first number is 13.

unknown values: s

equation: s = (k+1)+(k+3)

equation: k = 13

answer: 30

The sum of digits of a two digit positive integer is 11. If the digit at one's place is one less than the square of the digit at the ten's place. Find the number?

unknown values: n

equation: n = 10*x + y

equation: x+y=11

equation: y=x^2-1

answer: 38