Question

three drums contain 96 litres,120 litres and 144 litres of milk the milk is measured by a bucket each time no milk is left in each drum .what is the greatest capacity of the bucket​

Answer 1

Given:

3 drums containing 96 litres, 120 litres and 144 litres.

To Find:

The greatest capacity of the bucket (such that there is no remainder)

Solution:

Write 96 as products of its prime factors

$96 = 2^5 \times 3$

Write 120 as products of its prime factors

$120 = 2^3 \times 3 \times 5$

Write 144 as products of its prime factors

$144 = 2^4 \times 3^2$

Find highest common factor of 96, 120 and 144:

$96 = 2^5 \times 3$

$120 = 2^3 \times 3 \times 5$

$144 = 2^4 \times 3^2$

$\text{HCF} = 2^3 \times 3 = 24$

Answer: The greatest capacity of the bucket is 24 litres.

Answer 2

Answer:

144 litres as its the highest quantity.