Question

tanyas grandfather was 8 times older to her 16 years ago he would be 3 times her age 8 years from now eight years ago what was the ratio of tanyas age of that of her grandfather​

Answer 1

Answer:

Let, Tanya's present age be x years

and Tanya's grandfather's age be yyears

Tanya's age 16 years ago =x−16 years

Tanya's grandfather's age =y−16 years

A.T.Q,

y−16=8(x−16)

⟹y−16=8x−128

y=8x−128+16

y=8x−112 --------(i)

Tanya's age, 8 years from now =x+8

Tanya's grandfather's age, 8 years from now =y+8

A.T.Q,

y+8=3(x+8)

⟹8x−112+8=3(x+8) -----from (i)

⟹8x−104=3x+24

⟹8x−3x=24+104

⟹5x=128

⟹x=

5

128

Substituting x=

5

128

in eq (i)

y=

5

128×8

−112

=

5

1024−560

=

5

464

Tanya's age, 8 years ago =

5

128

−8

=

5

88

Tanya's grandfather's age, 8 years ago =

5

464

−8=

5

424

Ratio of Tanya's age to Tanya's grandfather's age =88:424

=11:53