Find the greatest value of a and b so that the following even numbers are divisible by both 3 and 5 I) a 4 b 2) 2 ab 4a​

Answers 2

Answer:

Answer:

(1)a=8 and b=5;

(2)a=5 and b=7

Step-by-step explanation:

We know that,

Any number is divisible by 3 if the sum of its digit is divisible by 3 and any number is divisible by 5 if its last digit is 0 or 5.

Part (1):

This number is divisible by 5 if b is taken as 0 or 5. Since we need the larger number so .

Now we have the number

Now it is divisible by 3 if and only if

is divisible by 3.

is divisible by 3.

As we need the larger number, so we have .

Part (2):

This number is divisible by 5 if a is taken as 0 or 5. Since we need the larger number so

Now we have the number

Now it is divisible by 3 if and only if

is divisible by 3.

is divisible by 3.

As we need the larger number, so we have

the answer of this question is divisible by both 3 and 5 are= 2

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