Question

A no. Has two digits . The digit at tens place is four times the digit at units place . If 54 is subtracted from the no. ,the digits are reversed . Find the original no.

Answer 1

Let the tens place digit be a

And unit place digit be b

According to first condition,

a = 4b -----(1)

According to second condition,

10a + b - 54 = 10b + a

=> 9a - 9b = 54

=> a - b = 6

=> 4b - b = 6 ( using equation 1)

=> 3b = 6

=> b = 2

a = 8

Required number = 82

Answer 2

☃️required answer ::-

Let the tens place digit be a

And unit place digit be b

According to first condition,

a = 4b -----(1)

According to second condition,

10a + b - 54 = 10b + a

=> 9a - 9b = 54

=> a - b = 6

=> 4b - b = 6 ( using equation 1)

=> 3b = 6

=> b = 2

a = 8

Required number = 82