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Numbers in a given ratio with a known product or sum of squares: find another combination

This type of question, asked 2 times: CDS 1 2017, CDS 2 2021. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 1 2017

    49
    The ratio of two numbers is 1:51 : 5 and their product is 320. What is the difference between the squares of these two numbers ?

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  2. Question 2

    CDS 2 2021

    26
    If three positive numbers are in the ratio 2:3:52:3:5 and the sum of their squares is 1368, then what is sum of the numbers ?

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