A mother said that, her age is one year less than thrice her dauther's age. The daughter is 9 years less than the difference between their present ages. Find the sum of their ages (in years)

Options

A. 45
B. 47
C. 39
D. 35

Answer

c

Explanation

Let the daughter's present age be x years
`:.` Mother's present age `= (3x -1)` years
`x = (3x -1) - x -9`
`x = 3x -1 - x -9`
`x = 2x -10`
`x = 10`
`:.` Mother's age `= 30 (10) - 1 = 29` years
`:.` Sum of their ages `= 29 + 10 = 39` years
Hence, the correct option is (c)