# 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?

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Solution:

Let the Number of Dollars Alex has =

therefore , number of Dollars Daniel has = y

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

substitute x in first, we get

y=49.08+160

=209.08

Hope this helps You!!!