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Aftab tells his daughter , "seven …

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Aftab tells his daughter , "seven year ago, i was 7 times as old as you were then ,also three year from now , i shall be 3 time as old as you will be . represent this situation algebrically
  • 1 answers

Gaurav Seth 6 years, 11 months ago

Let present age of Aftab be x
And, present age of daughter is represented byy
Then Seven years ago,
Age of Aftab = x -7
Age of daughter = y-7
According to the question,
(x - 7)  = 7 (y – 7 )
x – 7 = 7 y – 49
x- 7y = - 49 + 7 
x – 7y = - 42 …(i)
x = 7y – 42 
Putting y = 5, 6 and 7, we get
x = 7 × 5 - 42 = 35 - 42 = - 7
x = 7 × 6 - 42 = 42 – 42 = 0
x = 7 × 7 – 42 = 49 – 42 = 7

x-707y567
Three years from now ,
Age of Aftab = x +3
Age of daughter = y +3
According to the question,
(x + 3) = 3 (y + 3)
x + 3 = 3y + 9
x -3y = 9-3
x -3y = 6 …(ii)
x = 3y + 6 
Putting, y = -2,-1 and 0, we get
x = 3 × - 2 + 6 = -6 + 6 =0
x = 3 × - 1 + 6 = -3 + 6 = 3
x = 3 × 0 + 6 = 0 + 6 = 6

<div align="center" style="margin:0in 0in 0in 40.5pt; text-align:center; padding:0in 5.4pt">X</div> <div align="center" style="margin:0in 0in 0in 40.5pt; text-align:center; padding:0in 5.4pt">0</div> <div align="center" style="margin:0in 0in 0in 40.5pt; text-align:center; padding:0in 5.4pt">3</div> <div align="center" style="margin:0in 0in 0in 40.5pt; text-align:center; padding:0in 5.4pt">6</div>
<div align="center" style="margin:0in 0in 0in 40.5pt; text-align:center; padding:0in 5.4pt">y</div> <div align="center" style="margin:0in 0in 0in 40.5pt; text-align:center; padding:0in 5.4pt">-2</div> <div align="center" style="margin:0in 0in 0in 40.5pt; text-align:center; padding:0in 5.4pt">-1</div> <div align="center" style="margin:0in 0in 0in 40.5pt; text-align:center; padding:0in 5.4pt">0</div>
<div style="margin:0in 0in 0in 40.5pt">Algebraic representation
From equation (i) and (ii)
x – 7y = – 42 …(i)
x - 3y = 6 …(ii)</div>
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