Question

The ratio of Amit’s age to that of Reena’s age is 3 : 2. Complete the table that shows the
possible ages of Amit and Reena.

Answer 1

Step-by-step explanation:

Solution :

The ratio of Amit’s age to that of Reena’s age is 3 : 2.

Let,

Amit’s age = 3x

Reena’s age = 2x

★ According to the Question :

1).

• Amit’s age = 12
• Reena’s age = ??

• Amit’s age = 3x

3x = 12

x = 12/3

x = 4

Reena’s age = 2x

2 (4) = 8

• Amit’s age = 12
• Reena’s age = 8

___________________________

2).

• Reena’s age = 10
• Amit’s age = ??

• Reena’s age = 2x

2x = 10

x = 10/2

x = 5

• Amit’s age = 3x

3 (5) = 15

• Amit’s age = 15
• Reena’s age = 10

___________________________

3).

• Amit’s age = 18
• Reena’s age = ??

• Amit’s age = 3x

3x = 18

x = 18/3

x = 6

• Reena’s age = 2x

2 (6) = 12

• Amit’s age = 18
• Reena’s age = 12

Therefore, the possible ages of Amit and Reena :

Amit’s age = 12 ____ 15 _____18

Reena’s age = 8 _____10 _____ 12

Answer 2

Answer:

The Ratio of Amit's age to that of reena's age is 3:2.

1) Now, in the table Amit's age is 12.

Then,

Amit's age/Reena's age = 3/2

»» 12/Reena's age = 3/2

»» Reena's age = 12×2/3

= 24/3

= 8

So, Reena's age is 8 and Amit's age is 12.

2) Now, the age of Reena is 10 is given in the table. Then the age of Amit is :-

Age of Amit/Age of Reena = 3/2

»» Age of Amit/10 = 3/2

»» Amit's age = 10×3/2

= 30/2

= 15

So, the age of Amit is 15 and the age of Reena is 10.

3) Now, the age of Amit is 18 is given in table. Then the age of Reena is :-

Age of Amit/Age of Reena = 3/2

»» 18/Age of Reena = 3/2

»» Reena's age = 18×2/3

= 36/3

= 12

So, the age of Reena is 12 when the age of Amit is 18.

So, the table will be :-

Amit's age = 12 , 15 , 18

Reena's age = 8 , 10 , 12