4 year ago Sarika's age was 3 years less than Soham's age. Soham's age is less by 8 than double the age of Sarika. Then find age of Soham's and Sarika's .
Answers
Application of linear Equation
Answer: Present age of Sarika is 11 years and Present age of Soham = 14 years.
Explanation:
Given that 4 years ago Sarika's age was 3 years less than Soham's age.
Soham age is less by 8 than double the age of Sarika.
Need to find present age of Soham and Sarika.
PRESENT SCENARIO
lets assume present age of Sarika = x
double age of sarika = 2 × x = 2x
8 less that double age of sarika = 2x - 8
And As given that Age of soham = 8 less that double age of sarika
⇒ Present age of Soham = 2x - 8
FOUR YEARS AGO
Age of Sarika 4 years ago = present age of Sarika - 4 = x - 4
Age of Soham 4 years ago = present age of soham - 4 = (2x - 8) - 4 = 2x - 12
As Age of Sarika 4 years ago was 3 years less than Sohams age
⇒ Age of Sarika 4 years ago = Age of Soham 4 years ago - 3
⇒ x - 4 = ( 2x - 12) - 3
⇒ x - 4 = 2x - 15
⇒ -4 + 15 = 2x - x
⇒ x = 11
Present age of Sarika = x = 11 years
Present age of Soham = 2x - 8 = (2 × 11) - 8 = 22 - 8 = 14 years
Hence Present age of Sarika is 11 years and Present age of Soham = 14 years.
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