Question

what least number must be substracted from each of the numbers 14,17,34,42 so that the remainders may be proportional?​

Answer 1

Answer:

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Answer 2

Answer:

The least number must be subtracted from each of the numbers is 2.

Step-by-step explanation:

Let x be the least number.

By condition,

14-x : 17-x :: 34-x : 42-x

=>14-x / 17-x = 34-x / 42-x

=> 588 - 56x + x² = 578 - 51x + x²

=> x² - x² - 56x + 51x = 578 - 588

=> - 5x = - 10 => 5x = 10 => x = 2(verified answer).

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