6.
6. Ten years ago Rakesh was thrice as old as Ram
was but 10 years hence, he will be only twice as
old as Ram. Find ratio of their present ages.
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Answer:
7:3
Step-by-step explanation:
let Rakesh's present age be x and Ram's age be y
then, 10 years ago,
Rakesh's age = x-10 and Ram's age = y-10
it is given that 10 years ago Rakesh was thrice as old as Ram.
=> x -10 = 3(y-10)
=>x-10 = 3y -30
=>3y-x = 20 (1)
10 years hence.
Rakesh's age =x +10 and Ram's age = y + 10
it is given that 10 years hence, Rakesh's age is twice that of Ram's.
=>x +10 = 2(y +10)
=>x+10 = 2y + 20
=>x-2y = 10 (2)
adding equations (1) and (2), we get y = 30
substituting y = 30 in (1), we get x = 70
therefore, Rakesh's present age = 70 and Ram's present age = 30
=> ration of their present ages = 70:30 = 7:3
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