Question

Divide 52 into two parts such that half of one part is equal to the one -eleventh of the other part

Answer 1

Let x and y be the reqd parts
So x+y=52-------------------(1)
x/2=y/11
11x-2y=0------------------------(2)
2eq(1)+eq(2)
2x+2y+11x-2y=104
13x=104
x=8
So y=44