<PRE><B>Question 1050652</B>
Son = 1/5Mother
S+6 = 1/3(M+6) Substitute for Son
1/5M+6 = 1/3(M+6)
1/5M+6 = 1/3M+2
1/5M = 1/3M-4
1/5M-1/3M = -4
3/15M-5/15M = -4
-2/15M = -4 Divide both sides by 2/15 and remember -/- = +
M = -4/(-2/15) To divide by fraction invert and multiply
M = (4*15)/2
M = 30 The mother is 30 years old
S = 1/5M = 1/5*30 = (1*30)/5 = 6 The son is 6 years old
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Check:In 6 years
30+6 = 36
6+6 = 12
1/3 of 36: 1/3*36 = (1*36)/3 = 12 Correct
:
John</PRE>