Ravi is 12 years younger than Surya. Ravi's age is 40% of the sum of his and Surya's age. What will be Surya's age 9 years hence?
Answers
Answer:
Required age of Surya after 9 years will be 45 years.
Step-by-step explanation:
Let the present age of Surya be a years.
It is given in the question that Ravi is 12 years younger than Surya, thus present age of Ravi should be ( a - 12 ) years.
= > Sum of ages of Ravi and Surya = Age of Ravi + age of Surya
= > Sum of ages of Ravi and Surya = a years + ( a - 12 ) years
= > Sum of ages of Ravi and Surya = ( a + a - 12 ) years = ( 2a - 12 ) years.
According to the question :
= > Age of Ravi = 40% of sum of ages of Ravi and Surya
= > ( a - 12 ) years = 40 / 100 of ( 2a - 12 ) years
= > a - 12 = 2 / 5 x ( 2a - 12 )
= > 5( a - 12 ) = 2( 2a - 12 )
= > 5a - 60 = 4a - 24
= > 5a - 4a = 60 - 24
= > a = 36
Thus,
= > Age of Surya after 9 years = { ( a ) + 9 } years = ( a + 9 ) years = ( 36 + 9 ) years = 45 years
Hence the required age of Surya after 9 years will be 45 years.
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