1.

The difference of the digits oof a 2-digit number is 3. If the digits are interchanged and the new number is added to the original number, the result is 77. Find the original number

Answer»

Lef the no. is 10x + y

X - y = 3 eq1

10y + x + 10x +y = 77

11x + 11y = 77

x + y = 7 eq2

Now ADD eq. 1 and eq2

2x = 10

x = 5

put y in eq1

x - y = 3

5 - y = 3

y = 2

No is 10x + y

10×5 + 2 = 52


Thanks


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