n(n+2)(n+4) = 24
Let x be the first integer. Then the sum of the three consecutive integers is x + (x+1) + (x+2), which equals 3x + 3. We are given that this sum is 43, so we can write the equation 3x + 3 = 43. Solving this equation, we find that x = 13. Therefore, the three consecutive integers are 13, 14, and 15.
Let the two consecutive negative odd integers be ( x ) and ( x + 2 ). The equation for their product is ( x(x + 2) = 399 ). This simplifies to ( x^2 + 2x - 399 = 0 ). Solving this quadratic equation, we find that the integers are ( -19 ) and ( -17 ), since ( -19 \times -17 = 399 ).
-9 or -10Two consecutive negative integers that can be multiplied together with a product of 90 would be -9 and -10. A number sentence for this equation would be: -9 X -10 = 90.
To find three consecutive even integers that sum to 318, let the first integer be ( x ). The next two consecutive even integers would then be ( x + 2 ) and ( x + 4 ). Setting up the equation, we have ( x + (x + 2) + (x + 4) = 318 ). Simplifying this gives ( 3x + 6 = 318 ), or ( 3x = 312 ), leading to ( x = 104 ). Thus, the three consecutive even integers are 104, 106, and 108.
The integers are -34 and -33.
find the two consecutive odd integers with a sum of 152
Let x be the first integer. Then the sum of the three consecutive integers is x + (x+1) + (x+2), which equals 3x + 3. We are given that this sum is 43, so we can write the equation 3x + 3 = 43. Solving this equation, we find that x = 13. Therefore, the three consecutive integers are 13, 14, and 15.
Let the two consecutive integers be x and x+1. The product of these two integers is x(x+1). Setting this equal to 132 gives us the equation x(x+1) = 132. By expanding the left side of the equation, we get x^2 + x = 132. Rearranging terms, we have x^2 + x - 132 = 0. This is a quadratic equation that can be factored as (x+12)(x-11) = 0. Therefore, the two consecutive integers are 11 and 12, and their product is 132.
Let the two consecutive negative odd integers be ( x ) and ( x + 2 ). The equation for their product is ( x(x + 2) = 399 ). This simplifies to ( x^2 + 2x - 399 = 0 ). Solving this quadratic equation, we find that the integers are ( -19 ) and ( -17 ), since ( -19 \times -17 = 399 ).
There are no two consecutive even integers, consecutive odd integers, or consecutive integers that satisfy that relationship.
The sum of the squares of two consecutive positive even integers is 340. Find the integers.
Let's represent the three consecutive integers as x, x+1, and x+2. To find their sum, we add these integers together: x + (x+1) + (x+2) = 88. Simplifying the equation gives us 3x + 3 = 88. Subtracting 3 from both sides and then dividing by 3, we find that x = 28. Therefore, the three consecutive integers are 28, 29, and 30, and their sum is indeed 88.
9240 is the product of the three consecutive integers 20, 21, and 22.
-9 or -10Two consecutive negative integers that can be multiplied together with a product of 90 would be -9 and -10. A number sentence for this equation would be: -9 X -10 = 90.
1,2,3,4
The numbers are 65 and 67.
To find three consecutive even integers that sum to 318, let the first integer be ( x ). The next two consecutive even integers would then be ( x + 2 ) and ( x + 4 ). Setting up the equation, we have ( x + (x + 2) + (x + 4) = 318 ). Simplifying this gives ( 3x + 6 = 318 ), or ( 3x = 312 ), leading to ( x = 104 ). Thus, the three consecutive even integers are 104, 106, and 108.