two years ago salim was thrice as old as his daughter and 6 years later he will be 4 years older than twice her age how old are they now
Answers
Hey mate, here's your solution -
According to Question -
Age of Salim Age of his daughter
x y
x-2 = 3(y-2) x+6 = 4+2(y+6)
=> x-2 = 3y-6 => x+6 = 4+2y+12
=> x-3y = 2-6 => x-2y = 16-6
=> x-3y = -4 => x-2y = 10
x-3y = -4
x-2y = 10
- + -
0-y = -14
Therefore, y=14(age of daughter)
Age of Salim = 3(y-2)+2 = 3(14-2)+2 = 3*12+2 = 36+2 = 38
Hope it helps
MARK AS BRAINLIEST
Two years ago salim was thrice as old as his daughter and 6 years later he will be 4 years older than twice her age how old are they now?
Let Salim and his daughter's age be x year 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⠀ ⠀⠀⠀⠀ ⠀⠀⠀ ⠀⠀⠀ ⠀ ...(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 × 14 = 10
=> x = 10 + 28
=> x = 38
Hence, Salim and his daughter's age are 38 years and 14 years, respectively.
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