Question

Seven times a two digit number is equal to four times the number obtained by reversing the order of its digits. If the difference of the digits is 3 determine the numbee

Answer 1

Hi ☺☺
Your Answer....

➡Let the ten's place digit of two digit no. be x
and unit's place digit be y

Then Number is 10x+y
Number when digit is reverse is 10y+x

ATQ,

Difference between digit is 3,
y-x = 3
=> y = x+3

And,

7(10x+y) = 4(10y+x)

70x+7y = 40y+4x

=> 66x = 33y

=> 2x = y

=> 2x = x+3

=> x = 3

=> y = 6

Hence The Number is 36..☺☺

Answer 2

Seven times a given two digit number is equal to four times the number obtained by inter changing the digits
7(10x+y)=4(x+10y)
70x+7y=4x+40y
66x-33y=0
2x-y=0
2x=y
The difference of the digits is 3
y-x=3
2x-x=3
x=3
y=6
that number is 36.