Question

HCF and LCM of two numbers are 17 and 102 respectively if one of the number is 34 find the other​

Answer 1

• HCF = 17

• LCM = 102

• One of the number is 34

_____________ [GIVEN]

• We have to find the other number.

______________________________

We know that..

Product of two numbers = HCF × LCM

» Let other number be M.

So..

=> 34 × M = 17 × 102

=> 34M = 1734

=> M = 1734/34

=> M = 51

______________________________

$\textbf{Other number =}$ M = $\textbf{51}$

__________ $\bold{[ANSWER]}$

______________________________

✡ From above calculations we get M = 51

Product of two numbers = HCF × LCM

34 × 51 = 17 × 102

1734 = 1734

_______ [HENCE VERIFIED]

_______________________________

Answer 2

HCF = $\large \:17$

LCM = $\large \:102$

• One of the number is 34

_____________ $\large \:[GIVEN]$

• We have to find the other number.

______________________________

We know that..

Product of two numbers = $\large \:HCF \:× \:LCM$

» Let other number be M.

So..

=> $\large \:34 \:× \:M \:= \:17 \:× \:102$

=> $\large \:34M \:= \:1734$

=> $\large \:M \:= \frac{1734}{34}$

=> $\large \:M \:= \:51$

______________________________

$\textbf{Other number =}$Other number = M = $\textbf{51}51$

__________ $\bold{[ANSWER]}$

______________________________

✡ From above calculations we get M = 51

Product of two numbers = $\large \:HCF \:× \:LCM$

$\large \:34 \:× \:51 \:= \:17 \:× \:102$

$\large \:1734 \:= \:1734$

_______ $\large \:[HENCE \:VERIFIED]$

_______________________________