Question

16. A heap of shots when made up into groups of 28, 32 and 42 leaves always a remainder 5. Find the least
number of shots such a heap can contain,
H17. In a morning walk, three persons step off together. Their steps measure 80 cm, 85 cm and 90 cm
respectively. What is the minimum distance each should walk so that all can cover the same distance in
complete steps?Properties of HCF and LCM​

Answer 1

$\huge \fbox \green{Answer:}$

Given

their steps measure 80cm. 85cm. and 90cm To Find:

Calculate the required distance each

Should walk.

$\huge \fbox \pink{Salution:}$

$\sf \colorbox{gold} {\red⇒L.C.M. of 80cm, 85cm And 90cm.}$

$80 = {2}^{4} \times 5$

$85 = 17 \times 5$

$90 = 2 \times 3 \times 3 \times 5$

$\sf \colorbox{god} {\red⇒L.C.M Of 80,85 and 90}$

$= {2}^{4} \times 3 \times 3 \times 5 \times 17$

$\sf \colorbox{god} {\red⇒L.C.M Of 80,85 and 90}$

$= 12240 \: cm$

Hence The Minimum Distance Each Should walk so that all CM over the same Distance in Complete Steps is 12240 cm

Hence The Required Answer.

$\\ \\ \\ \sf \colorbox{lightgreen} {\red(ANSWER ᵇʸ ⁿᵃʷᵃᵇ⁰⁰⁰⁸}$