Question

Find the sum of the digits of the largest even three digit number which is not changed when its units and hundreds digits are interchanged ? (a) 22 (b) 23 (c) 24 (d) 25

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Let a,b and c are the hundreds, tens and units places digits respectively. then digit =100a+10b+c

Interchanging units and tens places digits, we get

⇒100a+10c+b=100a+10b+c+36⇒c−b=4…eqn(1)

Now, Interchanging units and hundreds places digits, we get

⇒100c+10b+a=100a+10b+c−198⇒a−c=12…eqn(2)

From equation 1 and 2,

a−b=6…eqn(3)

Suppose number is increased by x, If we change tens and hundreds digits, 

⇒100b+10a+c=100a+10b+c+x⇒−x=90a−90b⇒x=−540

Thus, number is decreased by 540.

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