Question

Q12: The sum of the digits of a two-digit number is 14. If 36 is added to the number, its digits are interchanged. Find the number.

Answer 1

Answer:

The number is 95.

Step-by-step explanation:

x + y = 14

Then

10x+ y +36 = 10y+x

x-y = 4

Substitution of values

x-y=4

x+y=14

2x=18

x= 9

thus

y=14-9

y=5

Answer 2

Answer:59

Step-by-step explanation: you can check theoretically ;

Let the digits be x y , we know x should be greater than 4 as if x=4 then to make sum 14 y should be 10 which is not possible now let's check the combination

A) 5+9

B) 6+8

C) 7+7

Now if you will add 36 to these no. You will find that option A is correct as

5+9=14

59+36=95

Which is reverse of 59

Hope u liked it friend sometimes thinking theoretically is better instead of making equations

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