Explanation

The mean of 5 numbers is 34, so the sum of these 5 numbers is:

5 x 34 = 170

We know three of the numbers: 29, 26, and 35. Let's add them up:

29 + 26 + 35 = 90

Now, we need to find the sum of the remaining two numbers:

170 (total sum) - 90 (sum of known numbers) = 80

Since the remaining two numbers are in the ratio 1:3, let's assume the smaller number is x. Then, the larger number is 3x.

We know their sum is 80, so we can set up the equation:

x + 3x = 80

Combine like terms:

4x = 80

Divide by 4:

x = 20

Now that we know x, we can find the larger number:

3x = 3(20) = 60

So, the remaining two numbers are 20 and 60.