if 121 is a mystery number and if the sum of the digits of one of the two digit number is 11 . the find the numbers......... plsss show the steps too
Answers
Mystery number : A mystery number is a number which comes by summing up two numbers that are reflections of each other.
Example : 99 which comes with 27 + 72, where 27 and 72 are reflections of each other.
Given : 121 is a mystery number.
It is a sum of 2 two digit numbers, and summing up individual digits of a number gives 11.
Step by step Solution :
Any 2 digit number can be written with 2 single digits from {0,1,2,3,4,5,6,7,8,9}
From this set, the 2 number sets whose sum gives 11 are { 2+9 , 3+8, 4+7, 5+6}
So, any one of 29, 38, 47, 56 can be one of the 2 numbers that makes 121 a mystery number. Let us check which set yields the result.
29 + 92 = 121 (correct)
38 + 83 = 121 (correct)
47 + 74 = 121 (correct)
56 + 65 = 121 (correct)
So, the sets which makes 121 as mystery number is {29,92}, {38,83}, {47,74}, {56,65}
Any set among these justify the question.
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