Amita is 2 years older than her friend Amrita. Amita's father is twice as old as Amita, and Amrita is twice as old as her sister. The ages of Amita's father and Amrita's sister differ by 43 years. The sum of the ages (in years) of Amita and Amrita is:
54
The correct answer is Option 1 i.e. 54.
Let, Amita's age = x so,
Amrits's age = x - 2
Amita's father age = 2x,
Amrita's sister age = (x - 2)/2
According to the question
⇒ 2x - (x - 2)/2 = 43
⇒ 4x - x + 2 = 86
⇒ 3x + 2 = 86
⇒ 3x = 84
⇒ x = 28
Amita age = x = 28 years
Amrita's age = x - 2 = 26 years
Sum = 28 + 26 = 54 years
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