Math, asked by anujdwivedi2913, 6 months ago

Sum of digits of a two digit number is 8. If their are interchanged ,the new number is increased by 18 than the original number. Find the original number.​

Answers

Answered by ani2050
0

Step-by-step explanation:

Probable Digits are=

1+7=8/2+6=8/3+5=8/4+4=8

So the answer will be 35 as 53-35=18

Answered by TheHeart
11

Solution :-

Let the two digit number = xy

According to the question

X+Y = 8 ........... [1]

And (X+10Y) +18 = (Y+10X)

=> 9X-9Y= - 18

=> 9 (X-Y) = - 18

=> X-Y = -2 .......... [2]

NOW ADD EQUA. [1] AND [2]

X+Y = 8 ........... [1]

X-Y = - 2 ........... [2]

---------------------------------------------------

2X = 6

X = 3

NOW PUT THE VALUE OF X IN EQUA. [2]

X-Y = -2

3 -Y = -2

-Y= - 2 - 3

Y = 5

HENCE,

ORIGINAL NUMBER =XY =35 ANS.

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