Question

Referring to his two sons ram and syam his father says -12 years ago,ram's age is 3 times as old as syam. 12 years later ratio of ages sons is 2:3 . What is present age of ram

Answer 1

LET SYAM'S PRESENT AGE BE x.

THEREFORE,

12 YEARS AGO,

LET SYAM'S AGE BE x-12.

THEREFORE,RAM'S AGE=3(x-12)

NOW,12 YEARS HENCE,

SYAM'S AGE = x+12

RATIO OF SYAM'S AGE TO RAM'S AGE = 2:3.

THEREFORE,

WE KNOW,BY ABOVE SUPPOSITION,THAT SYAM'S AGE AFTER 12 YEARS IS x+12 AND ALSO ACCORDING TO RATIO,IT'S X+12=2.

Answer 2

Answer: 36 years

Explanation:

Let us consider Shyam's present age as K years

12 years ago,

Shyam's age = K-12 years

So Ram's age is 3 times Shyam's = 3(K-12) = (3K-36) years → This age of Ram was 12 years ago

Hence, Ram's present age = (3K- 36) + 12 years = (3K-24) years

12 years later from present day,

Shyam's age = K+12 years

Ram's age = (3K-24) + 12 = (3K-12) years

Also, $\frac{Shyam's age }{Ram's age} =\frac{k+12}{3K-12} =\frac{2}{3} \\\\ K = 20 years = Shyam's present age\\∴ Ram's present age = 3K-24 = 3 x 20 - 24 = 36 years$

∴ K = 20 years = Shyam's present age

∴ Ram's present age = 3K-24 = 3 x 20 - 24 = 36 years