Answers

  • Brainly User
2014-06-03T08:59:58+05:30
Daniel has $160 more than Alex. After giving 1/10 of his money to Alex, he now has 3 times as much money than Alex. How much money do they have in the first place?

Solution:
       Let the Number of Dollars Alex has  = x
       therefore , number of Dollars Daniel has = y
                                                                 y = x+160          ........... (1)
               According to question ,
                             x+160 - 1/10(x+160) = 3 (x+1/10(x+160))
                             x+160 (1-1/10) = 3x +3/10(x+160)
                             x+160+(10-1)/10 = 3x +3x/10 +3*160 /10
                             x+160+9/10 = 3x +3x/10 +48
                             160+9/10 - 48 = 3x +3x/10 -x
                             112 +9/10 = 2x+3x/10
                             (112*10 + 9)/10 = (2x*10 +3x)/10
                               1120+9 = 20x +3x
                               1129 = 23x
                                 x= 1129/23
                                 x=49.08
                       substitute x in first, we get
                                y=49.08+160
                                 =209.08
Neglecting .08 $
Therefore Alex has 49 $ and Daniel has 209$

Hope this helps You!!!
                            
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