Question

The H.C.F. and L.C.M. of tow numbers is 128 and 14976 respectively. If one of the number is 1152 find the other number.​

Answer 1

Answer:

HCF = 128

LCM = 14976

One Number = 1152

To Find :

The other number

Solution :

Consider the second number as x

★ \boxed{\sf{HCF \times LCM = Product\:of\:2\:numbers}}HCF×LCM=Productof2numbers

\sf{\implies} \: 128 \times 14976 = 1152 \times x⟹128×14976=1152×x

\sf{\implies} \: 1916928 = 1152x⟹1916928=1152x

\sf{\implies} \:x = \dfrac{1916928}{1152}⟹x=11521916928

\sf{\implies} \:x = 1664⟹x=1664

\therefore∴ The second number is 1664

\textsf{\underline{\underline{Verification :-}}}Verification :-

\sf{\implies} \: 128 \times 14976 = 1152 \times 1164⟹128×14976=1152×1164

\sf{\implies} \: 1916928 =1916928⟹1916928=1916928

so,, The second number is 1664