# algebra

posted by astrid

Fiona and Greg play a number guessing game. Greg gives Fiona this hint about his two secret numbers, "The product of the two consecutive positive integers that i am thinking of is 11 more than their sum." What are Greg's numbers?

1. Damon

n and (n+1)
Star in Swedish :)
n(n+1) = 11 + n + (n+1)
n^2 + n = 2 n +12
n^2 - n - 12 = 0
(n-4)(n+3) = 0
try n = 4
then n+1 = 5

check:
4*5 = 20
4+5 = 9
sure enough, 20 = 9 + 11

2. astrid

Okay thank you so much!

## Similar Questions

1. ### algebra

Five times the smallest of three consecutive odd integers is ten more than twice the longest. Find the integers. The sum of three integers is one hundred twenty three more than the first number. The second number is two more than the …
2. ### Algebra

The difference of the cubes of two consecutive odd positive integers is 400 more than the sum of their squares. Find the sum of the two integers.
3. ### algebra!

The difference of the cubes of two consecutive odd positive integers is 400 more than the sum of their squares. Find the sum of the two integers.
4. ### Algebra

The difference of the cubes of two consecutive odd positive integers is 400 more than the sum of their squares. Find the sum of the two integers.
5. ### Algebra

The difference of the cubes of two consecutive odd positive integers is 400 more than the sum of their squares. Find the sum of the two integers.
6. ### Math

the product of two consecutive positive even integers is 14 more than their sum .set up an equation that can be used to find the two numbers and solve it
7. ### math

1.twice a number is 6 2.four added to a number gives ten 3.twenty five decreased by twice a number twelve 4.if thrice a number added to seven,the sum is ninety eigth 5.the sun of the squares of a number x and 3yields 25 6.the difference …
8. ### Math

2. The sum of the reciprocals of two consecutive positive integers is 17/72. Write an equation that can be used to find the two integers. What are the integers?
9. ### Math

1) After giving \$5 to Greg, David has \$25. Greg now has 1/5 as much as Davis does. How much did Greg start with?
10. ### Math

1) After giving \$5 to Greg, David has \$25. Greg now has 1/5 as much as Davis does. How much did Greg start with?

More Similar Questions