Question

my grandfather was 8 times older than me 12 years ago. He will be 3 times of my age after 8 years from now 8 years ago the ratio of my age of that of my grandfather was.
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Answer 1

Answer:

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PRESENT AGE OF GRANDFATHER = X YRS

PRESENT AGE OF THE BOY = Y YRS

12 YEARS AGO...

GRANDFATHERS AGE = X - 12

BOYS AGE = Y - 12

ACCORDING TO THE QUESTION ;

( X- 12 ) = 8 ( Y - 12)

X - 12 = 8Y - 96

X = 8Y - 84 ----(1)

AFTER 8 YEARS ....

GRANDFATHERS AGE = X + 8

BOYS AGE = Y + 8

ACCORDING TO THE CONDITIONS ;

X + 8 = 3 ( Y + 8 )

X + 8 = 3Y + 16

X = 3Y + 16 ---(2)

EQUATING EQ (1) AND EQ (2)

8Y - 84 = 3Y + 16

5Y = 16 + 84

5Y = 100

Y = 20 ----(3)

SUBSTITUTING EQ (3) IN EQ (2)

X = 3Y + 16

X = 3 (16) + 16

X = 48 + 16

X = 64

THEREFORE THE AGE OF GRANDFATHER IS 64 YEARS AND THE AGE OF BOY IS 16 YEARS.

AFTER 8 YEARS ...

GRANDFATHERS AGE = X + 8 = 72

SON S AGE = Y + 8 = 24

RATIO OF THE AGES

72 / 24

= 36 / 12

= 18 / 6

= 3 /1

GRANDFATHER : BOY = 3 : 1

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