Question

A number consists of two digits such that the
digit in one's place is thrice the digit in ten's
place. If 36 be added then the digits are
reversed. Find the number
(D 18)
62
c) 39
d) None
b) 26​

Answer 1

Answer:

Let the one's digit no. be 3x

Let the ten's digit no. be x

original no.. :

x•3x

= 10(x)+1(3x)

= 10x +3x

= 13x — equation 1

duplicate no. :

3x•x

= 10(3x) + 1(x)

= 30x + x

= 31x — equation 2

13x + 36 = 31x

31x - 13x = 36

18x = 36

x = 36/18

x = 2

original no. :

x•3x = (2)•(2×3)

= 26

duplicate no. :

3x•x = (3×2)•(2)

= 62

therefore the original no. is 26 and when 36 is added to 26 we get the alternate value which is 62.