Nehas mother was four times her age 12 years ago. She will be twice as old as Neha 12 years from now. What is the present age of Nehas mother?
49 years
57 years
60 years
65 years
Explanation:
Let Nehas present age be x years.
Her age 12 years ago = (x - 12) years
Therefore, her mothers age 12 years ago = 4(x - 12)
Her mothers present age = 4x - 48 + 12 = 4x - 36
Nehas age after 12 years = x + 12
Her mothers age after 12 years = 4x - 36 + 12 = 4x - 24
=> 4x - 24 = 2(x + 12)
=> 4x - 2x = 24 + 24
=> x = 24
Therefore, Nehas present age = 24
Hence, Her mothers present age = 4x - 36 = 4(24) - 36 = 60 years.