Question

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

Answer 1

Step-by-step explanation:

Let the age of grandfather be ' y'

Let the age of granddaughter be ' z'

A/C(1)--. y = 10z. ---(equation 1)

A/C(2)--. z + 54= y ----(equation 2)

putting value of y of equation 2 in equation 1

(z + 54) = 10z

10z -1z =54

9z = 54

z=(54/9)

z=6

putting z = 6 in equation 1

y = 10z

y= (10)(6)

y=60

Therefore, the age of grandfather is '60 years'.

Therefore, the age of granddaughter is '6 years'.

Answer 2

Answer:

Step-by-step explanation:

Let the present age of grand daughter be x

Then age of grandfather will be 10x

54 years older = x+54

ACCORDING TO THE QUESTION

x+54 = 10x

54 =10x-x

54 = 9x

54/9 = x

6=x

Therefore present age of grand daughter = 6 years

Present age of grand father = 10x

10×6

60