The sum of two numbers is 58. The smaller number is 16 less than the larger number. What are the numbers?
smaller number is 16 less than the larger one.*
To solve this problem, we can set up a system of equations. Let's call the larger number "x" and the smaller number "y".
From the given information, we have two equations:
Equation 1: x + y = 58 (The sum of the two numbers is 58)
Equation 2: y = x - 16 (The smaller number is 16 less than the larger number)
To solve this system of equations, we can use substitution or elimination method. Let's use substitution method.
Substitute Equation 2 into Equation 1:
x + (x - 16) = 58
Now simplify the equation:
2x - 16 = 58
Add 16 to both sides:
2x = 74
Divide both sides by 2:
x = 37
Now substitute the value of x back into Equation 2:
y = 37 - 16
y = 21
So, the larger number is 37 and the smaller number is 21.
Pick two numbers that equal 58, when added together, and see if the smaller number is less than the larger one.
Keep on doing this till you find the two numbers.
x+y = 58
x = y-16
solve for x and y.
Or, start with 29+29=58
(29-8)+(29+8) = 58