Question

HCF and LCM of tow number are 18 and 1782 respectively. One of the number is 162,find the other number​

Answer 1

Step-by-step explanation:

It is explaine in the question that HCF and LCM of the two number is 18 and 1782.and other number is 162..

there for = 18 × 1782/ 162 = 198.

Answer 2

$\sf\small\underline{given \::-}$

• HCF = 18
• lcm = 1782
• one number = 162

$\sf\small\underline{to \: find : - \: }$

• other number

$\sf\small\underline{formula : - \: }$

$\sf \: hcf \: \times lcm \: = product \: of \: two \: number$

$\sf\small\underline{solution:- \: }$

• let the other number be X

now by using formula :-

$\begin{gathered} \sf \: hcf \: \times lcm \: = product \: of \: two \: number \: \\ \\ \\ \end{gathered}$

$\begin{gathered} \: \: \: \: \: \: \: \: :\implies\sf \: 18 \times 1782 = 16 \times x \\ \\ \\ \: \: \: \: \: \: \: \: :\implies\sf x = 18 \times \frac{1782}{162} \\ \\ \\ \: \: \: \: \: \: \: \: :\implies\sf \: x = \cancel \frac{32076}{162} \\ \\ \\ \: \: \: \: \: \: \: \: :\implies\sf \: x = 198 \\ \\ \\ \end{gathered}$

$\sf\small\underline{verification : - \: }$

$\begin{gathered} \: \: \: \: \: \: \: \: \: \: :\implies\sf \:hcf \: \times lcm = product \: of \: two \: number \: \\ \\ \\ \: \: \: \: \: \: \: \: \: \: :\implies\sf \: \: 18 \times 1782 = 162 \times 198 \\ \\ \\ \: \: \: \: \: \: \: \: \: \: :\implies\sf \: \: 32076 = 32076 \\ \\ \\ \end{gathered}$

∴ second number is 198