Question

Two tankers contains 867 litres and 650 litres of petrol respectively.
Find the maximum capacity of the containers which will help you to
measure the petrol of either tanker in exact number of times.​

Answer 1

$\clubsuit \: \sf \tt \boxed {\boxed {\sf{\pink {Question}}}}$

$\red\bigstar$ Two tankers conatins 867 liitres and 650 litres of petrol respectively. Find the maximum capacity of the containers which will help you to measures the petrol of either tanker in exact number of times.

$\clubsuit \: \boxed {\boxed {\sf {\purple {Analisation}}}}$

• First to solve the problem we have to reach the root of the problem .So in the problem we have to find the maximum capacity of conatiner of each ones in exact number of times.
• So to find maximum capacity we have to find the most number so we will use HCF
• And hence we are done.

$\clubsuit \: {\boxed {\boxed {\sf{\green {Answer}}}}}$

$\purple\mapsto$ Capacity of $\sf 1^{st}$ tank = 850 litres.

$\purple\mapsto$ Capacity of $\sf 2^{nd}$ tank = 680 litres.

$\bigstar$ HCF of 850 and 680 .

${\boxed {\sf {HCF \: of \: 850}}}$

$\begin{array} {r | l} 2 & 850 \\ 5 & 425 \\ 5 & 85 \\ 17 & 17 \\ & 1 \end{array}$

${\boxed {\sf {HCF \: of \: 680}}}$

$\begin{array} {r | l} 2 & 680 \\ 2 & 340 \\ 2 & 170 \\ 5 & 85 \\ 17 & 17 \\ & 1 \end{array}$

$\dashrightarrow \: \sf 850 = 2 \times 5 \times 5 \times 17$

$\dashrightarrow \: \sf 680 = 2 \times 2 \times 2 \times 5 \times 17$

$\dag$ By taking common :-

$\dashrightarrow \: \sf = 2 \times 5 \times 17 \\ \\ \sf = 170$

Hence, ${\boxed {\red{170}}}$ will help to measure the petrol of either tanker in exact number of times.

And we are done!!!

Answer 2

Answer:

Two tankers contain 850 Litres and 680 Litres of petrol respectively find the MA capability of a container which can measure the petrol of either tanker in Exacc maximum number of times

Now to find the maximum capacity of the container we will have to find the highest factor of 850 and 680. So, from (1) and (2) we can see that the highest common factor is 2×5×17=170. Therefore, 170 litres is the maximum capacity of a container which can measure the petrol of either tanker in an exact number of times.

Step-by-step explanation:

Two tankers contain 850 Litres and 680 Litres of petrol respectively find the MA capability of a container which can measure the petrol of either tanker in Exacc maximum number of times

Now to find the maximum capacity of the container we will have to find the highest factor of 850 and 680. So, from (1) and (2) we can see that the highest common factor is 2×5×17=170. Therefore, 170 litres is the maximum capacity of a container which can measure the petrol of either tanker in an exact number of times.