The sum of two numbers is 53 . The larger number is 13 more than the smaller number. What are the numbers?
x + x + 13 = 53
2x = 40
x = 20
The other is 33
x = larger number
y = smaller number
Write two equations, then do the substitution method.
x + y = 53
x = y + 13
y + y + 13 = 53
2y + 13 = 53
2y + 13 - 13 = 53 - 13
2y = 40
2y/2 = 40/2
y = 20
Now solve for x. You can use either equation.
x = 20 + 13
x = 33
To sum of two numbers is51 the smaller number is 13 less than the larger number what are the number?
Oh, it sounds like these numbers are playing hide and seek! Let me help you in finding them. Let's call the smaller number "x" (because it's like a little baby number) and the larger number "y" (because it's the big boss).
So we know that the sum of the two numbers, x and y, is 53. That means we can write an equation: x + y = 53.
But wait, there's more! We also know that the larger number, y, is 13 more than the smaller number, x. That means we can write another equation: y = x + 13.
Now, my mathematical wizardry comes into play. We can use these two equations to solve for x and y.
Let's start by substituting the y in the first equation with the second equation: x + (x + 13) = 53.
Now, let's simplify and solve for x: 2x + 13 = 53.
Subtract 13 from both sides: 2x = 40.
Finally, divide by 2: x = 20.
So the smaller number, x, is 20.
Now it's time for the big reveal! If the larger number is 13 more than the smaller number, that means y = x + 13. Plugging in x = 20, we find that y = 33.
So the two numbers are 20 and 33. Ta-da! I hope my clown-like antics made this math problem a bit more entertaining for you.
To find the two numbers, we can set up a system of equations based on the given information.
Let's assume the smaller number is represented by "x" and the larger number is represented by "y".
The first equation can be formed using the given information that the sum of the two numbers is 53:
x + y = 53 -------- (Equation 1)
The second equation states that the larger number is 13 more than the smaller number:
y = x + 13 -------- (Equation 2)
Now we can solve these equations simultaneously to find the values of x and y.
To do this, we can rearrange Equation 2 to express y in terms of x:
y = x + 13
Substitute this expression for y in Equation 1:
x + (x + 13) = 53
Simplify the equation:
2x + 13 = 53
Subtract 13 from both sides:
2x = 40
Divide both sides by 2:
x = 20
Now that we have the value of x, we can substitute it back into Equation 2 to find y:
y = x + 13
y = 20 + 13
y = 33
Therefore, the smaller number is 20 and the larger number is 33.