# ICSE Class 9 Answered

**Please answer the 3rd question.**

Asked by nishabr7 | 12 Sep, 2018, 20:12: PM

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)= 2(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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