Here's how you can work it out:
First, let "x" be the first of those three numbers. We know that those numbers are three consecutive even integers, which tells us that the other numbers are "x + 2" and "x + 4". We also know that the three of them added together give us 210, so we can say:
x + (x + 2) + (x + 4) = 210
∴ 3x + 6 = 210
∴ 3x = 204
∴ x = 68
We now know that the lowest number is 68, which tells us that the other two must be 70 and 72. To check that, we simply add them together:
68 + 70 + 72 = 210
which confirms our answer.
Wiki User
∙ 2010-04-10 17:32:49You cannot.If you have any two consecutive numbers, one of them must be odd and the other even. So their sum must be odd and therefore cannot be 702 nor 210
Let x = first positive integer the x + 1 is the next positive integer the product is x (x+1) = 210 x^2 + x = 210 x^2 + x - 210 = 0 Use quadratic equation to solve, or factor (X+15) (X-14 ) = 0 x = +14 or X = -15 The positve one is x = 14 X + 1 = 15 ANS: 14 and 15
1x2x3=6 2x3x4=24 3x4x5=60 4x5x6=120 5x6x7=210 6x7x8=336 7x8x9=504 8x9x10=720 9x10x11=990
The numbers are 51, 52, 53 and 54.
14 and 15 14 X 15 = 210 7 X 30 = 210
Middle integer must be one-third of the sum, in this case 70. Other two are therefore 68 and 72
You can solve this in two ways.1) Trial and error. That is, try multiplying two consecutive integers; if the product is too large, try smaller integers; if the product is too small, try larger consecutive integers. 2) Call the two consecutive integers "n" and "n+1", and solve the equation: n(n+1)=210
210, 211, 212, 213 and 214.
66, 68, 70 Check: 66+68=134, 134+76=210, 210/3=70 ; 66, 68, 70
There are an infinite number of prime numbers which are consecutive odd integers. Choose any natural number n. Take all primes up to any number n, take their product, and add 1 and subtract 1 from it. These 2 numbers are consecutive odd integers. eg 2*3*5*7 = 210 209 and 211 are primes which are consecutive odd integers.
You cannot.If you have any two consecutive numbers, one of them must be odd and the other even. So their sum must be odd and therefore cannot be 702 nor 210
5*6*7 = 210
14 x 15 = 210
The Answer:This, we can notate as: (x - 1)x(x + 1) = (x2 - 1)x = x3 - x = 210.x3 - x - 210 = (x - 6)(x2 + 6x + 35) = 0Thus, 6 = x (or -3 +- i*sqrt(26)). The real solution, 6, can be plugged back into x - 1 (the lowest), producing 5. 5 is your answer.
210 and 211
Let x = first positive integer the x + 1 is the next positive integer the product is x (x+1) = 210 x^2 + x = 210 x^2 + x - 210 = 0 Use quadratic equation to solve, or factor (X+15) (X-14 ) = 0 x = +14 or X = -15 The positve one is x = 14 X + 1 = 15 ANS: 14 and 15
The sum of all integers from 1 to 20 inclusive is 210.