Question

The hcf and lcm of two numbers are 9 and 360respectively. if one number is 45,find the other number

Answer 1

Hey mate here is your answer❤
Let the other no. be x
We know that,
H.C.F. × L.C.M. = product of numbers
9 × 360 = 45 × x
3240 = 45 × x
3240 / 45 = x
72 = x
or we can write it as,
x = 72
so, the other no. is 72

$\: \: \: \: \: \: \: thank \: you$

Answer 2

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

The second number is 72

$\textbf{\large{\underline{Explaination :-}}}$

$\textbf{\large{\underline{Given :-}}}$

$\textsf{HCF of the number = 9}$

$\textsf{LCM of the number = 360}$

$\textsf{One number = 45}$

$\textbf{\large{\underline{To find :-}}}$

$\textsf{The second number}$

$\textbf{\large{\underline{Solution :-}}}$

$\textsf{As we all know that :}$

$\tt{ \rightarrow HCF \times LCM = 1st \: number \times 2nd \: number}$

$\tt{ \rightarrow Consider\:the\:2nd\:number\:as\:x}$

$\tt{ \Rightarrow 9 \times 360 = 45 \times x}$

$\tt{ \Rightarrow3240 = 45x}$

$\tt{ \Rightarrow45x = 3240}$

$\tt{ \Rightarrow \: x =\dfrac{3240}{45}}$

$\tt{ \Rightarrow \: x = 72}$

$\textsf{The 2nd Number is 72}$

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

$\tt{ \Rightarrow 9 \times 360 = 45 \times 72}$

$\tt{ \Rightarrow 3240 = 3240}$

$\textsf{LHS = RHS}$

$\therefore$$\textsf{The second number is 72}$