Question

The present age of aruna and karuna are in the ratio 6:5. if the difference between their ages is 5 years, then what will be the sum of their ages after 20 years

Answer 1

Let arunas age be '6x'

Let karuna's age be '5x'

6x-5x=5

x=5

Aruna's age=6x=6x5=30

Karuna's age = 5x5=25

Aruna's age after 20 years=30+20=50

Karuna's age after 20 years=25+20=45

Sum=50+45=95

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Answer 2

let the age of aruna be x
let the age of karuna be y

then according to ques. x/y=6/5......eq.1
according to ques.x-y=5......eq.2

from eq.2...x=5+y
putting this eq.1

we get,

5+y/y=6/5
cross multiplying,

6y=25+5y
6y-5y=25
y=5

putting this in eq.2

we get,

x-25=5
x=30

their present sum of ages=25+30=55

after 20 years 55+20=75

Answer=75