Raveena is 7 years older than her sister Praveena. The sum of their ages six years later will be 35. Which of the following is the present ages of Raveena and Praveena respectively?

# Raveena is 7 years older than her sister Praveena. The sum of their ages six years later will be 35. Which of the following is the present ages of Raveena and Praveena respectively?

1. A
7 years and 14 years
2. B
15 years and 8 years
3. C
8 years and 16 years
4. D
15 years and 7 years

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### Solution:

Raveena is 7 years older than her sister Praveena. The sum of their ages six years later will be 35.
Let the present ages of Raveena and Praveena is $x$ and $y$ years,
According to the question,
$x$ = $y+7$    …(i)
Six years later,
Age of Raveena $=x+6$
Age of Praveena $=y+6$
Then, ($x+6\right)+\left(y+6\right)=35$
$x+y=23$   …(ii)
From equation (i), we get
$y+7+y=23$ $2y=16$ $y=8$
Thus, the ages of Raveena and Praveena is and respectively.
Hence, 2 is the correct option.

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