Math, asked by sonamoniroy98884, 8 months ago

The HCF of two number is 23 and their LCM is 1449. If one number is 161, the other number is

Answers

Answered by Mihir1001

------------------------------------------------------------------------------------------------------------------------------------------¯\_(ツ)_/¯

$Answer:$

-------------------------------------------------------------------------------------------------------------------------------------------¯\(°_o)/¯

$\huge\boxed{\fcolorbox{red}{#ffdfff}{207}}$

---------------------------------------------------------------------------------------------------------------------------------------------(´∇｀*)

$Step-by-step-explaination:$

--------------------------------------------------------------------------------------------------------------------------------------------------●_●

let the other number be x.

therefore,

A/Q, H.C.F(x,161) = 23

and, L.C.M(x,161) = 1449

Now,

we know that :

$HCF(a,b) \times LCM(a,b) = a \times b$

Hence,

$23 \times 1449 = 161 \times x$

$\implies x = \frac{23 \times 1449}{161}$

$\implies x = \frac{23 \times 207 \times 7}{23 \times 7}$

$\implies x = \frac{1 \times 207 \times 1}{1 \times 1}$

$\implies x = 207$

----------------------------------------------------------------------------------------------------------------------------------------づ￣ ³￣)づ

${\fcolorbox{green}{#82ffff}{\textcolor{#300061}{your required answer is above ......... keep smiling ….. :)}}}$ $<marquee direction="down" scrollamount="1/10">❤just love❤</marquee>$ $<marquee direction="up" scrollamount="1/10">❤just love❤</marquee>$