Question

a grandfather is 10 times older than his granddaughter he is also 54 years older than her find their present ages ​

Answer 1

✬ Grandfather = 60 Years ✬

✬ Granddaughter = 6 Years ✬

Step-by-step explanation:

Given:

• Grandfather is 10 times older than his granddaughter.
• Grandfather's age is also 54 more than her granddaughter's age.

To Find:

• What are their present ages ?

Solution: Let the age of granddaughter be x and grandfather be y year. Therefore,

➟ Grandfather = 10 times older than x

➟ y = 10x.........(1)

and

➟ Grandfather age = 54 more than x

➟ y = x + 54......(2)

Put the value of y in equation (2)

$\implies{\rm }$ y = x + 54

$\implies{\rm }$ 10x = x + 54

$\implies{\rm }$ 10x – x = 54

$\implies{\rm }$ 9x = 54

$\implies{\rm }$ x = 54/9

$\implies{\rm }$ x = 6

So, Their present ages are

➯ Granddaughter's age = x = 6 years

➯ Grandfather's age = y = 10x

=> 10(6) = 60 years.

Answer 2

✬ Grandfather = 60 Years ✬

✬ Granddaughter = 6 Years ✬

Step-by-step explanation:

Given:

Grandfather is 10 times older than his granddaughter.

Grandfather's age is also 54 more than her granddaughter's age.

To Find:

What are their present ages ?

Solution: Let the age of granddaughter be x and grandfather be y year. Therefore,

➟ Grandfather = 10 times older than x

➟ y = 10x.........(1)

and

➟ Grandfather age = 54 more than x

➟ y = x + 54......(2)

Put the value of y in equation (2)

⟹ y = x + 54

⟹ 10x = x + 54

⟹ 10x – x = 54

⟹ 9x = 54

⟹ x = 54/9

⟹ x = 6

So, Their present ages are

➯ Granddaughter's age = x = 6 years

➯ Grandfather's age = y = 10x

=> 10(6) = 60 years.