Veena’s present age is three times her son’s present age and two fifth of her father’s present age. The average of present age of all of them is 46 yrs.What is the difference between the veena’s son’s present age and veena’s father’s present age?
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Veena's age = x
Son's age - x/3
Father's age = 5x/2
Average age = 46
Total age = x + x/3 + 5x/2 or 46*3
x + x/3 + 5x/2 = 46*3
6x + 2x + 15x = 46*3 *6
23x = 46*3*6
x = 2*3*6 = 36
Veena's age = 36
Son's age = 36/3 = 12
Father's age = 5*36/2 = 90
Difference between Veena's son's age and Veena's father's age =
90 - 12 = 78years
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