Question

24 is divided into two parts such that 7 times the first part added to 5 times the second part makes 146 find each part

Answer 1

let 1st part =x
second part=y
so x+y=24........equation1
7 times of 1st part + 5 times of 2nd part =146
7x + 5y = 146
7(x + y ) =7*24 or 7x+ 7y=168......equation2
subtract equation2 to equation2 weget
2y =22
or y= 22/2=11
x=24-11=13
so x=13 the first part and y=11 the second part