Question

Two palm oil cans have 45 and 130 litres of palm oil. Find a can of maximum capacity

which can exactly measure the palm oil in two cans.​

Answer 1

Answer :-

• The maximum capacity of a can which can measure the palm oil in two cans = 5 litres.

To Find :-

• A can with maximum capacity which can exactly measure the palm oil in two cans.

Given :-

• Two palm oil cans have 45 and 130 litres of palm oil.

Step By Step Explanation :-

In this question we need to find the maximum capacity of a can which can measure the palm oil in two coins.

So here we will find H. C. F. of 45 and 130 .

Let's do it !!

$\mathfrak { \purple{Using \: Euclid's \: Division \:Lemma \downarrow }}$

$\implies \sf130 = 45 \times 2 + 40 \\ \\ \implies \sf 45 = 40 \times 1 + 5 \\ \\ \implies \sf40 = 5 \times 8 + 0 \\ \\ \rightarrow \sf \: Therefore \: H.C.F = 5$

Now H. C. F. = 5

Hence the maximum capacity of a can which can measure the palm oil in two cans = 5 litres.

__________________________

Answer 2

Answer :-

The maximum capacity of a can which can measure the palm oil in two cans = 5 litres.

To Find :-

A can with maximum capacity which can exactly measure the palm oil in two cans.

Given :

Two palm oil cans have 45 and 130 litres of palm oil.

Step By Step Explanation :-

In this question we need to find the maximum capacity of a can which can measure the palm oil in two coins.

So here we will find H. C. F. of 45 and 130 .

Let's do it !!

Using Division Lemma↓

H.C.F =

⟹130=45×2+40

⟹45=40×1+5

⟹40=5×8+0

→.ThereforeH.C.F=5

Now H. C. F. = 5

Hence the maximum capacity of a can which can measure the palm oil in two cans = 5 litres.

__________________________