Question

Two milk cans have 60 and 165 litres of milk . Find a can of maximum capacity which can exactly measure the milk in two cans.​

Answer 1

Answer:

to find the exactly measure, find the hcf of 60 and 165.

Prime factor of 60 = 5×3×2×2

Prime factor of 165 = 5×3×11

So its HCF = 5×3 = 15

so a can of maximum capacity of 15 litres is required which can exactly measure the milk in two cans.

Answer 2

SOLUTION

GIVEN

Two milk cans have 60 and 165 litres of milk .

TO DETERMINE

The can of maximum capacity which can exactly measure the milk in two cans.

CONCEPT TO BE IMPLEMENTED

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

EVALUATION

Here the given capacities of two can are 60 litres and 165 litres

So given two numbers are 60 and 165

We prime factorise the given numbers

60 = 2 × 2 × 3 × 5

165 = 3 × 5 × 11

Now the maximum capacity of the can which can exactly measure the milk in two cans is the HCF of the given two capacities

The HCF

= 3 × 5

= 15

FINAL ANSWER

The maximum capacity of the can which can exactly measure the milk in two cans = 15 litres

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