If a number is divided by 4, the sum of the quotient and the remainder is 8 and the sum of their squares is 34, so what is that number?
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Answer:
17
Step-by-step explanation:
Let the number ( dividend ) be = x
And quotient be = y
And the remainder be = m
and given divisor = 4
Given that,
the sum of the square is = 34
( y)2 + ( m)2 = 34
Taking 3 as y and m as 5
( 3)2 + (5)2
=9 + 25
=34
Now ,
Dividend = Divisor × Quotient + remainder
= 4 × 3 + 5
= 17
Therefore the number is 17
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