Question

digits of a two-digit number differ by 3. if digits are interchanged and the numbers are added the sum is 77. Find the numbers.

Answer 1

Answer:

52

Step-by-step explanation:

Let x be the tens place of the original number and y be the units place

Given,

x - y = 3 ( The digits differ by 3)         -- 1

Org number 10x + y

New Number 10y + x

Given that if digits are interchanged and the numbers are added the sum is 77

Thus, 11x + 11y = 77

ie. x + y = 7                                       -- 2

Adding 1 and 2

2x = 10

Thus, x = 5

and y = 2

Thus, the number is 52