Question

lf 7a946 is divisible by 45 and remainder is 1​

Answer 1

Answer:

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Answer 2

Concept:

The divisibility rule of 9 states that the number is divisible by 9 if and only if the sum of digits of the number is equal to 9.

Given:

We are given a number:

7 a 9 4 6

It is divisible by 45 and leaves remainder 1.

Find:

We need to find the value of "a".

Solution:

The number leaves a remainder 1.

This means the number completely divisible by 45 will be:

7 a 9 4 6 - 1 = 7 a 9 4 5

Now:

45 = 5 × 9.

The divisibility rule of 5 states that a number is divisible by 5 if and only if the last digit is 0 or 5.

This condition is being satisfied.

The divisibility rule of 9 states that the number is divisible by 9 if and only if the sum of digits of the number is equal to 9.

according to this, we get that:

7 + a + 9 + 4 + 5 = 25 + a

For this to be divisible by 9, a should be:

a = 2.

Therefore, we get the value of a as 2.

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