The present age of Rakshak is twice the present age of Son-al. Five years hence, Sonal?s age will be twice the present , age of Arati. Five years ago, the ratio of the ages of Arati and Kiran was 2 : 3 respectively. Kiran?s present age is 20 years. Find Rakshak?s present age.
The present age of Rakshak is twice the present age of Son-al. Five years hence, Sonal?s age will be twice the present , age of Arati. Five years ago, the ratio of the ages of Arati and Kiran was 2 : 3 respectively. Kiran?s present age is 20 years. Find Rakshak?s present age.
1). 45 years
2). 50 years
3). 35 years
4). 40 years
2 answers
Let Arati's age 5 years ago = $2x$
and Kiran's age 5 years ago = $3x$
=> Kiran's present age = $(3x + 5) = 20$ [Given]
=> $x = \frac{15}{3} = 5$
=> Arati's present age = $2x + 5$
= 2*5 + 5 = 15 years
Now, after 5 years Sonal’s age will be twice the present age of Arati
=> Sonal's age after 5 years = 2*15 = 30 years
and Sonal's present age = 30 - 5 = 25 years
$\therefore$ Rakshak's present age = 2*25 = 50 years
Let Arati's age 5 years ago = $2x$
and Kiran's age 5 years ago = $3x$
=> Kiran's present age = $(3x + 5) = 20$ [Given]
=> $x = \frac{15}{3} = 5$
=> Arati's present age = $2x + 5$
= 2*5 + 5 = 15 years
Now, after 5 years Sonal’s age will be twice the present age of Arati
=> Sonal's age after 5 years = 2*15 = 30 years
and Sonal's present age = 30 - 5 = 25 years
$\therefore$ Rakshak's present age = 2*25 = 50 years
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