Question

9 years ago,andromedas age was twice achilles age .9years hence andromedas age was 4/3 times the age of achilles find andromedas present age in binary numbers

Answer 1

Let the present age of andromeda and achilles be a and b respectively.

According to first condition,

(a - 9) = 2(b-9)

=> a - 9 = 2b - 18

=> a - 2b = - 9

=> 2a - 4b = - 18 ---------(1)

According to second condition,

( a + 9) = 4 /3 ( b + 9)

=> 3a + 27 = 4b + 36

=> 3a - 4b = 9 -------(2)

On subtracting equation 1 from 2, we get

a = 9 + 18

a = 27

Now,

a - 2b = - 9

=> 27 - 2b = - 9

=> 2b = 36

=> b = 18

Andromeda's present age = 27 years

Achilles's present age = 18 years

Answer 2

The present age of Andromeda is 27 years.

Given:

9 years ago,andromedas age was twice Achilles' age .9years hence andromedas age was 4/3 times the age of Achilles.

To Find:

The Andromeda's present age.

Solution:

To find Andromeda's present age we will follow the following steps:

According to the question -

Let the present age of andromeda and Achilles be x and y respectively.

Now,

It is given that 9 years ago,andromedas age was twice Achilles' age.

So,

(x - 9) = 2(y - 9)

x - 9 = 2y - 18

x -2y=-9

2x - 4y = 18 (Let it be equation 1).

9 years hence andromedas' age was 4/3 times the age of Achilles.

So,

(x + 9) = 4/3 (y + 9)

3x +27= 4y + 36

3x - 4y = 9 (let it be the equation 2).

On subtracting equation 1 from 2, we get

2x - 4y - (3x - 4y) = 18 - 9

X = 9 + 18 = 27

The present age of Andromeda = x = 27 years.

Henceforth, the present age of Andromeda is 27 years.

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