the difference between two numbers is 54 .four times the smaller number is less than the greater number by 3 .find the number

the difference between two numbers is 54 .four times the smaller numbe

1.	the difference between two numbers is 54 .four times the smaller number is less than the greater number by 3 .find the number
Answer» Hi...☺ Here is your answer...✌ Let the smaller number be x and the GREATER number be y According to the question, $y - x = 54 \\ \\ y = x + 54 \: \: \: \: \: \: \: \: \: .....(1)$ ALSO, $4 x = y - 3 \\ \\ 4x = x + 54 - 3 \: \: \: \: \: \: \: \: \: \: [from \: (1)] \\ \\ 4x - x = 51 \\ \\ 3x = 51 \\ \\ x = \frac{51}{3} \\ \\ x = <klux>17</klux> \\ \\ putting \: x = 17 \: in \: (1) \\ we \: get \\ \\ y = 17 + 54 \\ \\ y = 71$ HENCE, The NUMBERS are 17 and 71