Question

the difference between two positive number is 5and the sum of squares is 73 find the product of these numbers
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Answer 1

Answer:

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Answer 2

Answer:

$\huge \star \underline \pink{QUESTION-}$

The difference between two positive number is 5and the sum of squares is 73 find the product of these numbers.

$\huge \star \underline \pink{Solution-}$

Let the two positive numbers be a and b.

Given difference between them is 5 and sum of squares is 73.

So,

=> a-b = 5

=> a²+b²=73

Squaring of both sides gives

==>

=> (a-b)²=5²

=> a²+b²-2a=25

but

=> a²+b²=73

So

=> 2ab = 73-25

= 48

=> ab = 24

So, the product of numbers is 24.

•°• ✾ •°•$\huge \star \underline \pink{Hope it helps you}$