Question

A positive number is 5 times another number. If we add 2 to both the numbers, then one of them becomes 4 times the other.
Find the smaller number.

Answer 1

Answer:

The smaller number is 6

Step-by-step explanation:

$Let\ the\ first\ positive\ number\ be x\\Let\ the\ other\ number\ be\ y\\x=5y - - - equ(1)\\x+2=4(y+2) - - - equ(2)\\From\ equ(2)\\x+2=4y+8\\x=4y+8-2\\x=4y+6 - - - equ(3)\\Substitute\ equ(1)\ into\ equ(3)\\5y=4y+6\\5y-4y=6\\y=6\\y\ is\ the\ smaller\ number, so\ the\ smaller\ number\ is\ 6.$