Question

The hcf of two numbers is 11 and there l.c.m
is 693. if one of the numbers is 77, then the other number is ​

Answer 1

H.C.F X L.C.M = PRODUCT OF TWO NUMBERS

LET OTHER NUMBER BE y

11 X 693 =77 X y

7,623 = 77y

7623÷77 =y

99 = y

THE OTHER NUMBER IS 99

Answer 2

$\bold{ANSWER}$

The second number is 99.

Here Given :

H.C.F of the 2 numbers = 11

L.C.M of the 2 numbers = 693

One number of them = 77

To find :

The second number

Solution :

LCM = 693

HCF = 11

One Number = 77

Second number = y

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

$\sf{\implies} \: 693 \times 11 = 77 \times}}$

$\sf{\implies} \: 7623 = 77y⟹7623=77y$

$\sf{\implies} \: y = \dfrac{7623}{77}$

$\sf{\implies}$\:y = 99⟹y=99

therefore

∴ The second number is 99.

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

$\sf{\implies} \: 693 \times 11 = 77$

$\sf{\implies} \: 7623 = 7623$

therefore

∴ The second number is 99.