1.

4. A number consists of two-digits. The digit at the units place is 3 times thedigit at the tens place. If 36 is added to the number, the digits are reversed.Find the number

Answer»

Answer:

Number = 26

Step-by-step explanation:

Solution :

Let unit place = x

Tenth place = y

Number =10y +x

According to the question,

x = 3y - - - - - - - - (1)

When 36 is added to the original number 10y +x

The terms GET reversed

(10y +x) +36 =10x +y

10y +x - 10x - y +36=0

9y - 9x +36 =0

9x - 9y =36

9(x- y) =36

(x-y) =36/9

x - y = 4 - - - - - - - - - - (2)

Now PUTTING the values of x from equation (1) in (2)

3y - y = 4

2y = 4

y = 4/2

y = 2

Putting the value of y in equation (1)

x = 3y

x = 3 ×2

x = 6

Hence the original number is

Number =10y +x

= 10 ×2 +6

= 20+ 6

= 26 Ans.



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