Discussion
Given below are two statements:
Statement I : Four year ago, the ratio of ages of Neeru and Divya was 3:4, average of the present age of Neeru, Divya and Kusum is 26 years. Also, Kusum is 11 years younger than Divya. The present age of Divya is 38 years.
Statement II : The age of mother today is thrice that of her daughter. After 10 years, the age of the mother will be twice that of her daughter. The present age of the daughter is 30 years.
In the light of the above statements, choose the correct answer from the options given below:
Answer: B
Both Statement I and Statement II are false.
Statement I: four years ago Neeru and Divya were 3x and 4x, so now they are \(3x + 4\) and \(4x + 4\), and Kusum is \(4x + 4 - 11 = 4x - 7\). Their total is \(3 \times 26 = 78\).
\[ \begin{aligned} (3x + 4) + (4x + 4) + (4x - 7) &= 78 \\ 11x + 1 &= 78 \Rightarrow x = 7 \end{aligned} \]
So Divya is \(4 \times 7 + 4 = 32\), not 38.
Statement II: with the daughter d and mother 3d, \(3d + 10 = 2(d + 10)\) gives d = 10, not 30. Both statements are false.
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