Question

The hcf of two no is 11 and their lcm is 7700 if one of the no is 275 then the other is

Answer 1

$\textbf{\underline{\underline{Answer :-}}}$

The Second number is 308.

$\textbf{\underline{\underline{Explanation :-}}}$

$\textsf{\underline{\underline{Given :}}}$

The HCF of the 2 numbers = 11

LCM of the 2 numbers = 7700

One Number = 275

$\textsf{\underline{\underline{To find :}}}$

The Second number

$\textsf{\underline{\underline{Solution :}}}$

Consider the second number as x $\textsf{}$

★ $\textsf{As we know :-}$

$\boxed{\sf{HCF \times LCM = Product\:of\:2\:numbers}}$

⟹ $\textsf{HCF = 11}$

⟹ $\textsf{LCM = 7700}$

⟹ $\textsf{One number = 275}$

⟹ $\textsf{Second number = x}$

$\sf{\implies} \: 11 \times 7700 = 275 \times x$

$\sf{\implies} \: 84700 = 275x$

$\sf{\implies} \: x = \dfrac{84700}{275}$

$\sf{\implies} \: x = 308$

$\boxed{\boxed{\sf{x =308}}}$

$\therefore$ The Second number is 308.

$\textbf{\underline{\underline{Verification :-}}}$

⟹ $\textsf{HCF = 11}$

⟹ $\textsf{LCM = 7700}$

⟹ $\textsf{One number = 275}$

⟹ $\textsf{Second number = 308}$

$\sf{\implies} \: 11 \times 7700 = 275 \times 308$

$\sf{\implies} \: 84700 =84700$

$\therefore$ The Second number is 308.

Answer 2

answer:-

the second number is 308