Question -
Answer -
Let Salim and his daughter’s age be x and y year respectively.
Now, by first condition,
Two years ago, Salim was thrice as old as his daughter.
i. e., x – 2 = 3(y – 2)
=> x – 2 = 3y – 6
=> x – 3y = -4 …(i)
and by second condition,
six years later, Salim will be four years older than twice her age.
x + 6 = 2(y + 6) + 4
=> x + 6 = 2y + 12 + 4
=> x – 2y = 16 – 6
=>x – 2y = 10 …(ii)
On subtracting Eq. (i) from Eq. (ii), we get
y = 14
Put the value of y in Eq. (ii), we get
x – 2 x 14 = 10
=> x = 10 + 28
=> x = 38
Hence, Salim and his daughter’s age are 38 years and 14 years, respectively.