The square of one number is $25$ . If the HCF and LCM of the two numbers are $5$ and $35$ find another number.

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Solution

LCM and HCF:
Square of one number $= 25$
The number is $5$ .
H.C.F. × L.C.M. = First number × Second number
Let the second number be $x$ .
$5 \times 35 = 5 \times x \Rightarrow x = \frac{175}{5} \Rightarrow x = 35$
Hence, the second number is $35$ .

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