Question

At present, the age of asha's mother is 4 times the age of asha. Three years ago the age of asha's mother was five times the age of asha. Find their present ages. ​

Answer 1

Given,

• At present, The age of Asha's mother is 4 times the age of Asha.

• Three years ago, The Age of Asha's mother was five times the age of Asha.

To Find,

• Their Present ages.

Solution,

Let's,

• The Present Age of Asha be 'x'.

And,

• The Present Age of Asha's Mother should be '4x'.

Before 3 years,

• The Age of Asha was 'x - 3'.

And,

• The Age of Asha's Mother was '4x - 3'.

According to Question,

• Before 3 years, The Age of Asha's mother was five times the age of Asha.

Can be written as,

$:\longmapsto 5(x - 3) = 4x - 3 \\ \\ :\longmapsto 5x - 15 = 4x - 3 \\ \\ :\longmapsto 5x - 4x = 15 - 3 \\ \\ :\longmapsto \boxed{x = 12}$

Hence,

• The value of 'x' is 12.

Therefore,

• The Present Age of Asha is 12 years.

And,

• The Present Age of Asha's Mother is 48 years [ 4(12) = 48 ].

Required Answer,

• The Present Ages of Asha and Asha's Mother are 12 years and 48 years respectively.

Answer 2

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❐QuEsTiOn,

At present, the age of asha's mother is 4 times the age of asha. Three years ago the age of asha's mother was five times the age of asha. Find their present ages

As Given,

↪At present, The age of Asha's mother is 4 times the age of Asha.

↪Three years ago, The Age of Asha's mother was five times the age of Asha.

We have to Find,

↪Their Present ages.

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❐SoLuTiOn,

Let,

↪The Present Age of Asha be 'x'.

And,

↪The Present Age of Asha's Mother should be '4x'.

Before 3 years,

↪The Age of Asha was 'x - 3'.

And,

↪The Age of Asha's Mother was '4x - 3'.

By Question,

↪Before 3 years, The Age of Asha's mother was five times the age of Asha.

Can be written as,

$:\longmapsto 5(x - 3) = 4x - 3 \\ \\ :\longmapsto 5x - 15 = 4x - 3 \\ \\ :\longmapsto 5x - 4x = 15 - 3 \\ \\ :\longmapsto \boxed{x = 12}$

Then,

↪The value of 'x' is 12.

Therefore,

↪The Present Age of Asha is 12 years.

And,

↪The Present Age of Asha's Mother is 48 years [ 4(12) = 48 ].

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❐FiNal AnSwEr,

↪The Present Ages of Asha and Asha's Mother are 12 years and 48 years respectively.

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❥Hope you get your AnSwEr.

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