A palindrome number is a number that remains the same when its digits are reversed, for example 83438. The number x and x + 32 are three digit and four digit palindromes respectively. What is the sum of the digits of the number x? Select one:
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The number x and x+32 are of three digits and four.Then,
x=999 when x is maximum and x+32=999+32=1031.
Since x+32 is of four digits then minimum value of x+32 is 1000 which gives
x=1000-32=968.
Now, 969 is a 3 digit palindrome number and 968<969<1031.
Also, 969+32=1001 which is a 4 digit palindrome number.
∴, x=969 and the sum of the digits is: 9+6+9=24.
x=999 when x is maximum and x+32=999+32=1031.
Since x+32 is of four digits then minimum value of x+32 is 1000 which gives
x=1000-32=968.
Now, 969 is a 3 digit palindrome number and 968<969<1031.
Also, 969+32=1001 which is a 4 digit palindrome number.
∴, x=969 and the sum of the digits is: 9+6+9=24.
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