Question

PLEASE ans in a simplified way : find a number whose one third multiplied with its one eighth becomes 864 please ans quickly

Answer 1

Answer:

Answer is 20, 736

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Answer 2

SoluTion :-

$\textsf {Let the number be x}\\\\\\\sf {So, \ one-third \ of \ the \ number = \frac{1}{3} \times x =\frac{1x}{3} }\\\\\\\sf {And, \ one - eighth \ of \ the \ number = \frac{1}{8} \times x =\frac{1x}{8} }$

According to the question,

$\sf {\to \dfrac{1x}{3} \times \dfrac{1x}{8}=864 }\\\\\\\sf {\to \dfrac{x^{2}}{3 \times 8}=864 }\\\\\\\sf {\to x^{2}=864 \times 3 \times 8}\\\\\\\sf {\to x^{2}=(36 \times 24)\times 24}\\\\\\\sf {\to x^{2}=6^{2} \times 24^{2}}\\\\\\\sf {\to x^{2}=144^{2}}\\\\\\\sf {\to x^{2}= \ 144}$

Thus, the number is 144.

Verification :-

$\sf {\dfrac{1}{3}(144) \times \dfrac{1}{8} (144)=864 }\\\\\\\\\sf {\to \dfrac {144}{3} \times \dfrac{144}{8} }\\\\\\\\\sf {\to 48 \times 18=864}\\\\\\\sf {\to 864=864}$

Hence, verified.