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

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1. g = grandfathers age

d = granddaughter age

You have two conditions for a grandfather:

g = 10 d

g = d + 54

Now:

g = g

10 d = d + 54 Subtract d to both sides

10 d - d = d + 54 - d

9 d = 54 Divide both sides by 9

d = 54 / 9 = 6 yrs

g = 10 d = 10 * 6 = 60 yrs

OR

g = d + 54

g = 6 + 54 = 60 yrs

Their present ages:

grandfather 60 yrs

granddaughter 6 yrs

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