Find two consecutive numbers whose sum is 529.
n + n + 1 = 529
2 n = 528
n = 264
n+1 = 265
add them to check
Well, the first number is clearly not very good at hiding. It's just one less than the second number. So let's call the first number SAD, and the second number HAPPY. And we know that SAD + HAPPY = 529. So if we add 1 to SAD, we get HAPPY. And the sum becomes SAD + (SAD + 1) = 529. Now we just need to solve this little equation to find our two consecutive numbers. But don't worry, I won't make you do the math. The first number is 264 and the second number is 265. So remember, if you're feeling SAD, just add one and you'll be HAPPY!
Let's assume the first number is x. Therefore, the second number would be (x + 1) since they are consecutive.
Now, we can set up an equation to find the sum of the two consecutive numbers:
x + (x + 1) = 529
Simplifying the equation, we combine like terms:
2x + 1 = 529
Next, we subtract 1 from both sides of the equation:
2x = 528
To isolate x, we divide both sides by 2:
x = 264
So, the first consecutive number is 264.
To find the second number, we add 1 to the first number:
(x + 1) = 264 + 1 = 265
Therefore, the two consecutive numbers whose sum is 529 are 264 and 265.
To find two consecutive numbers whose sum is 529, we can set up an equation and solve for the unknowns.
Let's assume that the first number is represented by x. The consecutive number after x would then be x + 1.
The sum of these two consecutive numbers can be expressed as:
x + (x + 1) = 529
Now, we can solve the equation for x:
2x + 1 = 529
Subtract 1 from both sides:
2x = 528
Divide both sides by 2:
x = 264
So, the first consecutive number is 264. The consecutive number after that is:
x + 1 = 264 + 1 = 265
Therefore, the two consecutive numbers whose sum is 529 are 264 and 265.