Question

tens place digit is 4 more than unit place digit. the number formed by interchanging the digits is 36 less than original number. find how many such numbers exist​

Answer 1

Answer:

Let the two digit number be xy,

However, in unit system - it is represented as 10x + y

Now, as per the question, it is 36 more than the number obtained by reversing the digit - so here we frame the sentence in Mathematical language →

(10x + y) = 36 + (10y + x) {10y + x is the reverse of the number} → Eq 1

Also, x - y = 4 → Eq 2

Now solving the above 2 equations →

x - y = 4

i.e x > y, so x can be 5, 6, 7, 8, 9 and y can be 1, 2, 3, 4, 5 respectively.

So, two digit number can be 51, 62, 73, 84, 95

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