Question

the HCF and LCM of two numbers are 131 and 8253 respectively if one of the numbers is 917 find the other

Answer 1

hcf×lcm= 1st number×2nd number

let unknown no. be x

131×8253=917× x

x=1081143/917

x=1179

Answer 2

$\bf{\underline{\underline \green{Solution:-}}}$

$\frak\red{AnswEr}\begin{cases}\sf\red{\underline{The \:other\: number\: = 1179}}\end{cases}$

$\frak\red{Given}\begin{cases}\sf\red{\underline{H.C.F = 131}} \\ \sf\blue{\underline{L.C.M = 8253}} \\\sf\green{\underline{One\: of\: the \:number = 917}}\\\sf\orange{\underline {Unknown \: number = x }}\end{cases}$

$\frak\red{Need\:To\:Find}\begin{cases}\sf\red{\underline{The \:other\: number\: = \:?}}\end{cases}$

$\bf{\underline{\underline \green{Explanation:-}}}$

$\underline\mathtt \orange{We\:know\:that:-}$

$\bigstar\:\large{\boxed{\sf\pink{H.C.F \times L.C.M = Product \: of \: two\: numbers}}}$

$\underline\mathtt \orange{Now, Putting\:the\: values:-}$

$\longrightarrow \sf {131 \times 8253 = 917x}$

$\longrightarrow \sf {1081143 = 917x}$

$\longrightarrow \sf {x = \dfrac{\cancel{1081143}}{\cancel{917}} }$

$\longrightarrow \sf {x = 1179}$

$\underline\mathtt \orange{Therefore:}$

• $\small\orange{\underline {\boxed{\sf\green{ The\: other \:number\: is \: 1179.} }}}$

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$