Find the larger of two consecutive integers if the larger is 149 less than twice the smaller.

unknown values: x+1

equation: x+1=2*x-149

answer: 151

What is the greater of two consecutive even integers that is four less than three times the smaller integer?

unknown values: n+2

equation: n+2 = 3*n-4

answer: ans_no_result

Three integers have these characteristics: their sum is 12; the sum of the smallest and largest integers is 7; the middle integer is one third of the largest integer. What are the integers?

unknown values: x,y,z

equation: x+y+z=12

equation: x+z=7

equation: y=z*1/3

answer: {-8; 5; 15}

Find three consecutive even integers such that the sum of the second and third is equal to three times the first decreased by 14.

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

equation: 2*k+(2*k+2)=3*(2*k-2)-14

answer: 20; 22; 24

The sum of two numbers is 42. One number plus 2 times the other number is 57. What are the numbers?

unknown values: x,y

equation: x+y=42

equation: x+2*y=57

answer: {27; 15}

The sum of two numbers is 24 and the sum of the first number and twice the second is 34. Find the numbers.

unknown values: x,y

equation: x+y=24

equation: x+2*y=34

answer: 14; 10

Find four consecutive even integers such that twice the sum of the second and third exceeds 3 times the first by 34

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

equation: 2*(2*k+(2*k+2))=3*(2*k-2)+34

answer: 22; 24; 26; 28

the sum of the squares of 3 consecutive positive numbers is 365. find the smallest of the 3

unknown values: k

equation: k^2 + (k+1)^2 + (k+2)^2 = 365

answer: 10

Determine three consecutive odd integers such that the product of the first two integers is equal to the sum of all three integers?

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

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

answer: 3;5;7

Find 5 consecutive odd integers with the sum of -5

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

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

answer: -5; -3; -1; 1; 3