It was Shriram's and Sreedevi's 12th Wedding Anniversary. Shriram said "When we got married, Sreedevi was 3/4th of my age, but now she is 5/6 of my age". What actually are their present ages?

Options

A. a. Shriram 38, Sreedevi 32
B. b. Shriram 36, Sreedevi 30
C. c. Shriram 30, Sreedevi 24
D. d. Shriram 40, Sreedevi 34

Answer

B

Explanation

Let present age of Shriram = `xyr`
and present age of Sreedevi = `y yr`
It was the 12th wedding anniversary of them Then, according to the question, their age of twelve year back, `3/4 (x - 12) = y - 12`
`implies (3x)/4 +9 = y - 12`
`implies (3x)/4 - y = -3`
`implies 3x - 4y = -12 " " ..(ii)`
Now, their present age, `(5x)/6 = y implies 5x = 6y`
`implies 5x - 6y = 0 " " ........(ii)`
On solving Eqs. (i) and (ii), we get
`x = 36, y = 30 `
Hence, present age of Shriram = 36 yr and present age of Sreedevi = 30 yr