two numbers have a sum of 600,if the smaller number is divided into the larger number,the quotient is 3 and the remainder is 24.what is the larger number?
L+S=600
L/S=3 + 24/S
L+S=600
L=3S+24
does that help?
The product of two numbers is 600 if one number is 30 what is the other number
To find the larger number, we need to set up a system of equations based on the information given.
Let's assume the smaller number is represented by 'x', and the larger number is represented by 'y'.
From the given information, we have two equations:
1. The sum of the two numbers is 600: x + y = 600
2. When the smaller number is divided into the larger number, the quotient is 3 and the remainder is 24: y = 3x + 24
Now we can solve this system of equations using substitution or elimination method.
Let's use the substitution method:
Substitute the expression for 'y' from equation 2 into equation 1:
x + (3x + 24) = 600
Now simplify the equation:
4x + 24 = 600
Subtract 24 from both sides to isolate the term with 'x':
4x = 576
Divide both sides by 4:
x = 576/4
Simplify:
x = 144
Now substitute the value of 'x' into equation 1 to find the value of 'y':
144 + y = 600
Subtract 144 from both sides:
y = 600 - 144
Simplify:
y = 456
Therefore, the larger number is 456.