Question

Adam and Rahmad shared some beads.if Adam gave one-third of his share to Rahmad,Rahmad would have 70 more than Adam.if Adam gave one-fifth of his share to rahmad,Rahmad would have 10 more Adam.how many beads does Adam have at first?

Answer 1

If Adam gave 1/3 of his beads to Rahmad, he'd have 2/3 left. so,

2a/3 + 70 = r + a/3
4a/5 + 10 = r + a/5

a/3 - r = -70
3a/5 - r = -10

4a/15 = 60
a = 225
220 = r+75
r = 145

so, if adam gives 1/3 to rahmad,

a has 150 and r has 220

if adam gives 1/5,

a has 180 and r has 190

Answer 2

225