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