The difference between two numbers is 66 four times the smaller is equal to 3 more than the larger what are the numbers

Answer 1

Let's assume the smaller number is x and the larger number is y.

Given: The difference between two numbers is 66.

This can be expressed as y - x = 66. (Equation 1)

Also given: Four times the smaller number is equal to 3 more than the larger number.

This can be expressed as 4x = y + 3. (Equation 2)

Now we can solve these equations to find the values of x and y.

From Equation 1, we can express y in terms of x:
y = x + 66.

Substituting this value of y into Equation 2, we get:
4x = (x + 66) + 3.

Simplifying the equation:
4x = x + 69.

Subtracting x from both sides:
3x = 69.

Dividing both sides by 3:
x = 23.

Now we can find the value of y using Equation 1:
y = x + 66 = 23 + 66 = 89.

Therefore, the numbers are x = 23 and y = 89.