find three consecutive even integers such that the square of the third is 28 more than the square of the second.

find three consecutive even integers such that the square of the third is 28 more than the square of the second.

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

equation: (2*k+2)^2=(2*k)^2+28

answer: 4; 6; 8

Find 2 numbers whose sum AND product are 11.

unknown values: x,y

equation: x + y = 11

equation: xy = 11

answer: {1.113; 9.887}

Find three consecutive odd integers such that the square of the second added to the first is seventy five less than the square of the third.

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

equation: (2*k+1)^2+(2*k-1)=(2*k+3)^2-75

answer: 21; 23; 25

12 divided by 3+ 18 divided by 2

unknown values: x

equation: x=12/3+18/2

answer: 13

The number 2002 is equal to the sum of 7 consecutive natural numbers. What is the smallest of these 7 numbers?

unknown values: x-3

equation: x-3+x-2+x-1+x+x+1+x+2+x+3=2002

answer: 283

The sum of two consecutive even integers is equal to 30. What is the smaller integer?

unknown values: 2*k

equation: (2*k)+(2*k+2)=30

answer: 14

Find two consecutive odd integers such that the smaller one is 12 more than one-third the larger

unknown values: n,n+2

equation: n = 12 + 1/3*(n+2)

answer: 19; 21

The sum of the squares of two consecutive odd integers is 34. Find the two integers.

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

equation: (2*k-1)^2+(2*k+1)^2=34

answer: 3;5 or -5;-3

Find five consecutive odd integers such that the sum of the first and the fifth is one less than three times the fourth.

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

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

answer: -9; -7; -5; -3; -1

Find two positive numbers so that twice their sum equals their product and one number is 9 times the other number.

unknown values: m,n

equation: 2(m+n) = mn

equation: m = 9*n

answer: {20; 20/9} | {20; 2.222}