Jaya says, “When I add 6 times my age 6 years from now to 7 times my age 7 years from now, I get 14 times my current age. Select the option that indicates my age, after 5 years from now.”

Jaya says, “When I add 6 times my age 6 years from now to 7 times my age 7 years from now, I get 14 times my current age. Select the option that indicates my age, after 5 years from now.” Correct Answer 90 years

Assuming current age of Jaya as X years, 

Age after 6 years = 6 + X

Age after 7 years = 7 + X

Now according to the statement,

6 × (6 + X) + 7 × (7 + X) = 14 × X

⇒ 36 + 6X + 49 + 7X = 14X

⇒ 13X + 85 = 14X

⇒ X = 85 years

So, Jaya's age after 5 years from current age = 85 + 5 = 90 years.

Hence, option 4 is correct.

Related Questions

If A indicates >; B indicates <; C indicates = ; D indicates + ; E indicates -; F indicates × ; G indicates /: then which of the following option is true?