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