Question

The sum of two numbers is 67 . The quotient of the greater divided by the smaller number is 7 with remainder 3 . Determine the two numbers. 59 and 8 58 and 9 63 and 4 42 and 13

Answer 1

Let x be the smaller number and y be the greater number. We know that:

x + y = 67

We also know that:

y = 7x + 3

We can substitute the second equation into the first equation and solve for x:

x + (7x + 3) = 67

8x + 3 = 67

8x = 64

x = 8

Now that we know x, we can use the second equation to solve for y:

y = 7x + 3

y = 7(8) + 3

y = 59

Therefore, the two numbers are 8 and 59.