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ICSE Class 9 Answered

Please answer the 3rd question. 
question image
Asked by nishabr7 | 12 Sep, 2018, 20:12: PM
answered-by-expert Expert Answer
 
Let,
the present age of Mother = x years
the present age of daughter = y years
According to the 1st condition,
(x - 4)= 4(y - 4)
x - 4y = -12 ....(i)
According to the 2nd condition,
(x + 6)= 2begin mathsize 16px style 1 half end style(y + 6)
2x  - 5y = 18     ....(ii)
Multiply (i) by 2 , we get
2x - 8y = -24     ....(iii)
Subtracting (ii) form (iii), we get
-3y = - 42
y = 14
put y = 14 in (i), we get
x = 4y - 12 = 4 × 14 - 12 = 44
 
Therefore,
 
the present age of Mother = x years = 44 years
the present age of daughter = y years = 14 years
Answered by Yasmeen Khan | 14 Sep, 2018, 11:56: AM

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