The product of two positive consecutive odd integers is 399. The sum of these two integers is?

unknown values: s

equation: s = x + (x+2)

equation: x(x+2)=399

equation: x>0

answer: 40

The sum of an integer and its reciprocal is 82/9. Find the integer.

unknown values: x

equation: x+1/x=82/9

answer: 9

What fraction when added to its reciprocal is equal to 13/6?

unknown values: f

equation: f + 1/f = 13/6

answer: 3/2 or 2/3

If a number is added to its reciprocal the sum is 25/12. Find the number.

unknown values: n

equation: n + 1/n = 25/12

answer: 4/3 or 3/4 | 1.333 or 0.75

Find three consecutive odd integers such that the sum of the first and the third is 7 greater than the second decreased by -14.

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

equation: (2*k-1)+(2*k+3)=(2*k+1)-(-14)+7

answer: 19; 21; 23

The difference between two numbers is 14 and half of their sum is 25. What are the numbers?

unknown values: x,y

equation: x-y=14

equation: (x+y)/2=25

answer: {32; 18}

find 2 numbers with the mean of 14 and a difference of 4

unknown values: x,y

equation: (x+y)/2=14

equation: (x-y)=4

answer: {16; 12}

the sum of two consecutive integers is two less than three times the smaller number. Find the integers.

unknown values: x,x+1

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

answer: 3; 4

the product of two consecutive even integers decreased by seven times the greater integer is 70. find the two integers

unknown values: x,x+2

equation: x(x+2)-7(x+2)=70

answer: 12; 14

The product of two consecutive integer is 80 more than 15 times the larger integer. find the two numbers.

unknown values: x, x+1

equation: x * (x+1) = 15 * (x+1) + 80

answer: 19; 20 or -5; -4