Question

a) A grandfather is ten times older than his grand daughter
He is also 54 years older than her find their present
ages. (5 marks)
1.
195​

Answer 1

☆ Solution ☆

Given :-

• A grandfather is ten times older than his grand daughter.
• He is also 54 years older than her.

To Find :-

• Their present ages.

Step-by-Step-Explaination :-

• Let the grand daughter age be x years

So, grandfather age be 10x years

• We know that age of grandfather = age of grand daughter + 54

=> Age of grandfather = x +54

According to the condition,

x + 54 = 10x

54 = 10x - x

54 = 9x

x = 54/9

x = 6

Thus,

Grand daughter age = 6 years

So, grandfather age = 10x = 10 × 6 = 60 years .

Hence Solved !

Answer 2

Answer:

$\huge\Large\underline\mathtt\pink{Solution:-}$

Let present age of granddaughter = x year

So,present age of grandfather = 10 x year

$\huge\small\underline\mathtt\pink{According \: to \: the \: question:-}$

→ x + 54 = 10 x

→ x-10x = -54

→ - 9x = -54

${\huge{\boxed{\tt{\color {green}{x = 6}}}}}$

Present age of granddaughter = x 6 year.

present age of grandfather = 10 x

= 10 × 6

= 60 years.