the sum of two digit number and the number obtained by reversed the order of its digit is 121 and the two digit differ by 3 .find the number
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Step-by-step explanation:
Let the ones digit be x and tens digit be y
Required number is 10 * x + y
According to the question,
(10 * x + y) + (10 * y + x) = 121
11 * x + 11 * y = 121
x + y = 121/11
x + y = 11...................................i
and if x > y
x-y = 3.......................................ii
and if x < y
y - x = 3.....................................iii
Adding i and ii we get
2 x = 14
x = 14/2 =7
and y = 4 so the required number be 10 * 7 + 4 = 74
Adding i and iii we get,
2 y = 14
y = 7
and x = 7
the required number be 10 * 4 + 7 = 47
Since it is not given that which digit is greater, so the two possible numbers are 74 or 47.
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