Question

GO THROUGH THE ATTACHED IMAGE..​

Answer 1

Answer:

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Step-by-step explanation:

Given that:

Sum of 2 digit number and number obtained by reversing is = 165

The digits differ by 3

and also ten’s digit is bigger than unit’s digit

Let the digits of the number be x and y

So by applying the given conditions we get the following equations:

(10x+y)+(10y+x)=165 ————–(i)

x-y=3 ——————-(ii)

11x+11y=165

Taking out 11 as a common factor

x+y=15 ———————-(iii)

Solving (ii) and (iii) we get,

2x=18

x=9

y=15–9=6

Hence the number is 96

Verification:

We can verify by substituting the values in the given conditions:

96 + 69 = 165

9-6=3

Hence both the conditions are verified.

96 is the required number.

Answer 2

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