- The difference of the digits of 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.
Answers
Answered by
19
Answer:
52 or 25
Step-by-step explanation:
let the digits of two digit number be x and y
so,
number will be
10x + y
given that
,The difference of the digits = 3
so,
x - y = 3 .....(1)
and
also given that
If the digits are interchanged
(means 10x + y to 10y + x)
then
new number is added to the original number, the result is 77
original number is 10x + y
number formed by interchanging of digits
= 10y + x
ATQ,
10x + y + 10y + x = 77
11x + 11y = 77
x + y = 77/11
x + y = 7 .....(2)
now from eqn (1) and (2)
by adding both
x - y + x + y = 3 + 7
2x = 10
x = 10/2
x = 5
putting the value of x on (1)
x - y = 3
5 - y = 3
-y = 3 - 5
-y = -2
y = 2
x = 5
original number = 10x + y
= 10(5) + 2
50 + 2
52
so,
original number = 52 or 25
hope it helps
eknoor97:
cool guy# thanks for it!!!!
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