Question

If 5xy is divisible by 90. Then the value of 3x+2y ....
[АРАМ​

Answer 1

Answer:- 8

Given:- The number 5xy is divisible by 90

Calculation:- For divisibility by 10 the last digit of the number should be 0

Similarly, for divisibility by 9, sum of the digits should be divisible by 9

Here, 5xy is divisible by 90, so, that means 5xy is also divisible by 9 and 10

5xy is divisible by 10

so, the value of y = 0 (y is in 0 place i.e., in one's place)

Now, 5x0 is divisible by 9

So, 5+x+0=5+x is divisible by 9

So, the smallest number that should be added to 5, so that it is also divisible by 9 is 4

y=4

5+4=9

Now,

3x+2y = 3*0 + 2*4 = 0+8 = 8

Therefore, the value of 3x+2y=8

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Answer 2

The answer is 12.

GIVEN

5xy is divisible by 90.

TO FIND

Value of 3x + 2y

SOLUTION

We can simply solve the above problem as follows;

We are given

5xy is divisible by 90.

We can also write 90 as 9 × 10

Now,

5xy is divisible by both 9 and 10.

We know that for a number to be divisible by 10 the digit at unit's place should be 0

Therefore,

y = 0

Now,

For a number to be divisible by 9, the sum of digits of the number should by a multiple of 9.

Sum of the digits, 5 + x + 0 = 5 + x

So,

5 + x is a multiple of 9

The least number divisible by 9 = 9

5 + x = 9

x = 4

Therefore, value of 3x + 2y

3 × 4 + 2 × 0 = 12 = 12

Hence, The answer is 12.

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