Question

Contains 104 and 191 of milk respectively find the maximum of a bag of maximum capacity which can fill the milk

Answer 1

Correct Question:

• Two vessels contain 104 litres and 91 litres of milk respectively. Find the measure of a bucket of maximum capacity which can measure the milk of either vessel an exact number of times.

Concept:

• We have to find the HCF of 104 and 91, and the HCF we get after using prime factorisation method is the measure of a bucket of maximum capacity which can measure the milk of either vessel an exact number of times.

Finding the HCF:

By using prime factorisation method.

• Factors of 104 = 2³ × 13
• Factors of 91 = 7 × 13

↠ HCF (104, 91) = 13

Hence,

• The measure of a bucket of maximum capacity is 13 litres.

Answer 2

Answer:

Appropriate Question :-

• Two vessels containing 104 litres and 91 litres of milk respectively. Find a measure of a bucket of maximum capacity which can measure the milk of either vessels and exact number of times.

Given :-

• Two vessels containing 104 litres and 91 litres of milk respectively.

To Find :-

• What is the measure of a bucket of maximum capacity which can measure the milk of either vessels and exact number of times.

Solution :-

Given :

$\mapsto$ The measure of first vessel = 104 litres

$\mapsto$ The measure of second vessel = 91 litres

Now, as we know that :

$\leadsto \sf\boxed{\bold{\pink{H.C.F\: :-}}}$

$\bullet$ The H.C.F (Highest Common Factor) is the largest common factor that two or more number have.

Now, we have to find the measure of a bucket of maximum capacity which can measure the milk of either vessels and exact number of times :

❒ 104 :

$\implies \sf 2 \times 2 \times 2 \times \bold{\underbrace{13}} \times 1$

❒ 91 :

$\implies \sf 7 \times \bold{\underbrace{13}} \times 1$

Hence, the HCF of 104 and 91 :

$\longmapsto \sf \bold{\red{13}}$

$\therefore$ The measure of a bucket of maximum capacity which can measure the milk of either vessels and exact number of times is 13 litres.