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Q)Two tankers contain 1000 litres and 760 litres of petrol respectively. Find the maximum capacity of a container by which can be used to measure petrol of both tankers in exact number of lines .
✔Chapter: Real numbers
Class: 10
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Answered by
3
The required number is there HCF
siddhartharao77:
Please, solve step by step always.
but people should only get hint and solve by themselve
Being an expert rank holder, u should solve give step by explanation even though they want hint.
Answered by
28
Given capacity of 1st tanker = 1000 litres.
Given capacity of 2nd tanker = 760 litres.
The maximum capacity of the container is the HCF of 1000,760.
Prime factorization of 1000 = 2^3 * 5^3
Prime factorization of 760 = 2^3 * 5 * 19
HCF(1000,760) = 2 * 2 * 2 * 5
= 40.
Therefore the capacity of the container = 40 litres.
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