Best Answer

the answer is 6

Q: The product of two positive consecutive numbers is 42 What is the smaller number?

Write your answer...

Submit

Still have questions?

Continue Learning about Other Math

8,10,12

16, 17 and 18

6 and 8. 6 * 8 = 48 6 * 6 = 36 48 - 36 = 12

They are page numbers 24 and 25 . ( 24 x 25 = 600 ) The easiest way to solve this is by trial and error. Multiply two consecutive numbers; if the product is too low, try larger numbers, if it is too high, try smaller numbers. You can also write an equation and use the quadratic formula. The equation in this case is x(x+1) = 600. Re-written for use of the quadratic equation, it becomes x2 + x - 600 = 0. This will give you a positive and a negative solution; only the positive solution is sensible in this case.

Let the smaller number be n then the other number is (n + 2). Then, n(n + 2) = 783 n2 + 2n = 783......which can be rearranged as : n2 + 2n - 783 = 0 This can be factored : n2 + 2n - 783 = (n + 29)(n - 27) = 0 The solution that concerns us is when n is positive. This occurs when, n - 27 = 0 : n = 27. Then the two consecutive odd numbers are 27 and 29.

Related questions

The product of 2 consecutive positive number is 48. Find the 2 numbers

5

It is 23.

There are none. However, there are two consecutive positive odd numbers: 25 and 27.

The sum of the squares of two consecutive positive numbers is 41.What is the smaller number?Improved Answer:-It is 4 because 42+52 = 41

Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.

The numbers are 5 and 6.

4

There are none.

5.

4

4