Question

A grandfather is ten times older than his grandsaughter.He is also 54 years older than her.Find their present ages.​

Answer 1

Answer:

Age of Grandaughter is 6 and that of Grandfather is 60...

Step-by-step explanation:

Let the present age of Grandfather be 'x' yrs

and that of Grandaughter be 'y' yrs..

According to first Condition:

x=10y. ............. 1.

According to second condition:

x=54+y. ............ 2.

From Eqn 1 and 2.

10y= 54+y

10y-y=54

9y=54

y=6

Putting y in Eqn 1.

x=10y

=10(6)

=60...

x=60....

Hence the age of Grandaughter is 6 yrs and that of Grandfather is 60yrs...

Answer 2

Answer:

60 years and 6 years

Step-by-step explanation:

let grandfathers age be x and grand daughter age be y

1st case

x=10y ------------(i)

2nd case

x= y+54 ----------(ii)

from ep (i) and (ii)

10y= y+54

9y=54

y= 54/9

y=6

putting y= 6 in eq(i)

x=10*6

x=60

therefore, age of grandfather is 60 years and age of granddaughter is 6 years .