Question

If the 4-digit number 2XY7 is exactly divisible by 3, then which of the following is the least value of (X + Y)? *​

Answer 1

Step-by-step explanation:

2xy7 divisible by 3

ie. 2427

x is 4 and y is 2

x+y=4+2=6

Answer 2

Given:

The 4-digit number 2XY7 is exactly divisible by 3.

To Find:

The least value of (X + Y).

Solution:

according to the divisibility of 3,

if the sum of the digits of the number is divisible by 3 then the number is divisible by 3.

The Given number is 2XY7,

so, sum of digit = 2+X+Y+7 = 9+ X+Y

in order to number be divisible by three 9+ X+Y should equal 12,15,18 etc.

⇒ 9+ X+Y = 12    

X+Y = 3

⇒ 9+ X+Y = 15

X+Y = 6

⇒ 9+ X+Y = 18    

X+Y = 9

therefore least value of  X+Y is 3.

Hence, the least value of (X + Y) is 3.