A number consist of 2 digits whose sum digit is 8. If 18 is added to the numbers, the digit interchange their places . Find the number
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Answered by
3
the answer is 81 and 18 interchange their placed
phadkeanish:
Where are u from ??
no iam not interfering iam just correcting you
I guess, Tamil nadu or Kerala
no
Then ??
Andhra Pradesh ??
bihar, and where are you from?
Oh
Ok bye
tata
Answered by
7
Let us assume that one of the digit of the two digit number is X, then problem the other number will be (8 - X)
From problem we get that, if we add 27 to the number the digits get interchanged and also since the number is a two digit number then X will in tens place (7 - X) will be in ones place.
So the equation we get
10X + (8 - X) + 18 = 10(8 - X) + X
10X + 8 - X + 18 = 80 -10X + X
9X + 26 = 80 - 9X
9X + 9X = 80 - 26
18X = 54
X = 54/18
X = 3,
So the digit in tens place = 3 the digit in ones place is (8 - 3 = 5) , then the number is 35 and when 18 is added the result is 53, the digits interchange their position in the new number.
Ans: 35.
From problem we get that, if we add 27 to the number the digits get interchanged and also since the number is a two digit number then X will in tens place (7 - X) will be in ones place.
So the equation we get
10X + (8 - X) + 18 = 10(8 - X) + X
10X + 8 - X + 18 = 80 -10X + X
9X + 26 = 80 - 9X
9X + 9X = 80 - 26
18X = 54
X = 54/18
X = 3,
So the digit in tens place = 3 the digit in ones place is (8 - 3 = 5) , then the number is 35 and when 18 is added the result is 53, the digits interchange their position in the new number.
Ans: 35.
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