chetan is 3 years elder to his wife naina who is 30 years elder to his daughter jyoti. if ratio of present ages of jeet to jyoti is 4:3 and chetan is 29 years older of his son jeet, then what is present average age of jeet and jyoti
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Let age of jeet be x,
and that of jyoti be y,
given,
Chetan's age = 29 + x (1)
Naina's age = 30 + y (2)
Also,
Chetan's age = 3 + (30 + y) = 33 + y (3)
From (1) and (3),
29 + x = 33 + y
33 - 29 = x - y
or, x - y = 4 (4)
Also, given, x:y = 4:3
or, 3x = 4y
x = 4y/3 (5)
Putting Eq. 5 in Eq. 4,
4y/3 - y = 4
4y - 3y = 12
y = 12 years
now, from eq. 5,
x = 4 × 12/3 = 4 × 4 = 16 years
Therefore,
age of jeet = 16 years and age of jyoti = 12 years
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