consecutive integers

two pages that face each other in a book have a sum of 569 Pages that face each other are consecutive. Let the first page be p. The second page is p + 1. Their sum is: p + p + 1 = 569 Type this equation into our search engine to solve for p, and we get: p = 284 This means p + 1 = 284 + 1 =...

If x represents the first, or the smaller, of two consecutive odd integers, express the sum of the two integers in terms of x If x is the first of two consecutive odd integers, then we find the next consecutive odd integer by adding 2 to x: x + 2 The sum of the two consecutive odd integers is...

The ages of three siblings are all consecutive integers. The sum of of their ages is 39. Let the age of the youngest sibling be n. This means the second sibling is n + 1. This means the oldest/third sibling is n + 2. So what we want is the sum of 3 consecutive integers equal to 39. We type...

Sum of two consecutive numbers is always odd Definition: A number which can be written in the form of 2 m where m is an integer, is called an even integer. A number which can be written in the form of 2 m + 1 where m is an integer, is called an odd integer. Take two consecutive integers, one...

Four consecutive integers beginning with n consecutive meaning one after another. So we have: n n + 1 n + 2 n + 3

The left and right page numbers of an open book are two consecutive integers whose sum is 403. Find these page numbers. Page numbers left and right are consecutive integers. So we want to find a number n and n + 1 where: n + n + 1 = 403 Combining like terms, we get: 2n + 1 = 403 Typing that...

2 consecutive even integers such that the smaller added to 5 times the larger gives a sum of 70. Let the first, smaller integer be x. And the second larger integer be y. Since they are both even, we have: x = y - 2 <-- Since they're consecutive even integers x + 5y = 70 <-- Smaller added to...

Find the largest of three consecutive even integers when six times the first integers is equal to five times the middle integer. Let the first of the 3 consecutive even integers be n. The second consecutive even integer is n + 2. The third (largest) consecutive even integer is n + 4. We are...

Find 2 consecutive numbers such that the sum of twice the smaller number and 3 times the larger number is 73. Let x be the smaller number and y be the larger number. We are given: 2x + 3y = 73 Since the numbers are consecutive, we know that y = x + 1. Substitute this into our given equation...

2 consecutive odd integers such that their product is 15 more than 3 times their sum. Let the first integer be n. The next odd, consecutive integer is n + 2. We are given the product is 15 more than 3 times their sum: n(n + 2) = 3(n + n + 2) + 15 Simplify each side: n^2 + 2n = 6n + 6 + 15 n^2...

Find two consecutive odd integers such that the sum of their squares is 290. Let the first odd integer be n. The next odd integer is n + 2 Square them both: n^2 (n + 2)^2 = n^2 + 4n + 4 from our expansion calculator The sum of the squares equals 290 n^2 + n^2 + 4n + 4 = 290 Group like terms...

Find 3 consecutive integers such that the sum of twice the smallest and 3 times the largest is 126. Let the first integer be n, the second integer be n + 1, and the third integer be n + 2. We have: Sum of the smallest and 3 times the largest is 126: n + 3(n + 2) = 126 Multiply through: n + 3n...

Find two consecutive positive integers such that the sum of their squares is 25. Let the first integer be x. The next consecutive positive integer is x + 1. The sum of their squares equals 25. We write this as:: x^2 + (x + 1)^2 Expanding, we get: x^2 + x^2 + 2x + 1 = 25 Group like terms...

If the third of 6 consecutive numbers is 12, what is their sum? If 12 is the third of 6 consecutive numbers: First consecutive number is 12 - 2 = 10 Second consecutive number = 12 - 1 = 11 Third consecutive number = 12 Fourth consecutive number = 12 + 1 = 13 Fifth consecutive number = 13 + 1 =...

The age of three sister are consecutive intergers the sum of their age is 45 what is their ages Type this into the search engine: The sum of three consecutive numbers is 45. We get 14, 15, 16.

Sum of N and its next consecutive even integer is 65 Next even consecutive integer is N + 2. We have N + (N + 2) = 65. Combine like terms, we have 2N + 2 = 65 Running this problem through the search engine, we get n = 31.5. Meaning this problem is impossible, it cannot be done. n is not an...

Ages are consecutive integers. The sum of ages are 111. What are the ages In the search engine, we type sum of 2 consecutive integers is 111. We get 55 and 56.

3 consecutive odd integers such that thrice the middle is 15 more than the sum of the other 2. Let the first integer be n The next odd one (middle) is n + 2. The next odd one is n + 4 We are given 3(n + 2) = n + n + 4 + 15. Simplifying, we get: 3n + 6 = 2n + 19 Plugging that problem into...

The sum of 5 odd consecutive numbers is 145. Let the first odd number be n. We have the other 4 odd numbers denoted as: n + 2 n + 4 n + 6 n + 8 Add them all together n + (n + 2) + (n + 4) + (n + 6) + (n + 8) The sum of the 5 odd consecutive numbers equals 145 n + (n + 2) + (n + 4) + (n + 6)...

The sum of the squares of two consecutive positive integers is 61. Find these two numbers. Let the 2 consecutive integers be x and x + 1. We have: x^2 + (x + 1)^2 = 61 Simplify: x^2 + x^2 + 2x + 1 = 61 2x^2 + 2x + 1 = 61 Subtract 61 from each side: 2x^2 + 2x - 60 = 0 Divide each side by 2...