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miskamm [114]
3 years ago
9

Which of the following properties is represented by (ab)c = a(bc)?

Mathematics
1 answer:
DochEvi [55]3 years ago
3 0

Answer:

Associative Property of Multiplication

Step-by-step explanation:

We are given three numbers-a,b,c.

We are given the property (ab)c = a(bc)

This implies that on the left hand side we first multiply a and b and then multiply the result by c. On the right side of the equation, we first multiply b and c and multiply a with the product of b and c.

As per the given property, the result in both the cases is the same.

This signifies the associative property of multiplication where the result is independent of the order of operation.

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There are two numbers whose sum is 64. The larger number subtracted from 4 times the smaller number gives 31. Find the numbers.
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There are two numbers whose sum is 64. The larger number subtracted from 4 times the smaller number gives 31. Then the numbers are 45 and 19

<h3><u>Solution:</u></h3>

Given that, There are two numbers whose sum is 64.  

Let the number be a and b in which a is bigger.

Then, a + b = 64 ------ eqn (1)

The larger number subtracted from 4 times the smaller number gives 31.  

4 x b – a = 31  

4b – a = 31 ----- eqn (2)

We have to find the numbers.

So, from eqn (2)

a = 4b – 31

Subatitute a in (1)

4b – 31 + b = 64

On solving we get

5b  = 64 + 31  

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b = 19

So, b = 19, then eqn 1

a + 19 = 64

On simplification,

a = 64 – 19

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Hence, the two numbers are 45 and 19

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