Question

The thickness of a science book is 20 mm and that of a mathematics book is
28 mm. Books of each type are stacked up in a separate pile. Find the minimum
height of each pile such that both piles are of same height.​

Answer 1

Answer :

• 140 is the minimum height of each piles such that both pile of same height

Given :

• The thickness of a science book is 20mm
• Mathematics boom is 28 mm
• Books of each type are stacked up in a separate pile

To find :

• The minimum height of each pile such that both pile of same height

Solution :

Given that

• Science book = 20 mm
• Mathematics book = 28 mm

First we have to find the LCM of 20 and 28 then we get the minimum height of piles

》20 = 2 × 2 × 5

》28 = 2 × 2 × 7

》LCM = 2 × 2 × 5 × 7 = 140

Hence 140 is the minimum height of each piles such that both pile of same height

Answer 2

__________________

♧Question♧

• The thickness of a science book is 20 mm and that of a mathematics book is 28 mm. Books of each type are stacked up in a separate pile. Find the minimum height of each pile such that both piles are of same height.

♧Answer♧

Given data:-

• ➠Thickness of Mathematics books = 28mm
• ➠Thickness of science books = 20mm

To find:-

• ➠The minimum height of each pile such that both piles are of same height = ?

Solution:-

☆According to the question the mathematics book is 28mm thick and science book is 20mm thick.

Now,By taking the LCM of 20 and 28.

• ➠20 = 2 × 2 × 5
• ➠28 = 2 × 2 × 7
• Common factors = 2 × 2 = 4
• Non common factors = 5 × 7 = 35
• Least common factors(LCM) = 4 × 35 = 140

☆So the minimum height of each pile is 140.