One number is bigger than another by 406. If the bigger number is divided by the smaller one, you'll get the quotient 3 and remainder 66. Find the numbers.

Let's named numbers, first a and the second b.

a=b+406 ∧ a/b=3 (66) this is not appropriate form of equation.

The next is better a = 3b+66

Then we replace a in the first and get

b+406=3b+66 if we add (-66) to the both sides we get

b+406-66=3b then we add (-b) to the both sides and get

340=3b-b = > 2b=340 = > b=340/2 = > b=170

when we replace this result at first equation we get

a = 170+406 = 576 = > a=576

Good luck!