Question

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Answer 1

Answer:

Question:-

The HCF and LCM of two numbers is 18 and 252 respectively. if one number is 6 times of 12, the six times of the other is 216, find the sum of both

Step-by-step explanation:

Other number = 36.

Step-by-step explanation:

Let a and b are two numbers and h and l are HCF and LCM

respectively ,then

$\implies \boxed{ \sf \: {a \times b = h \times l }}$

Now ,

a = 126, b = ?

h = 18, l = 252

$\sf 126 \times b = 18 \times 252126×b=18×252\\ \\ \sf \implies b = \frac{ 18 \times 252 }{126} \\ \\ \sf \: \implies b = 18 \times 2 \\ \\ \sf\implies b = 36\\ \\ \sf Sum\: sum \: of \: the \: Two\: numbers\: is 126+36=162.$

Also LCM of 36 and 126 is 252

And HCF is 18.