Question

Batching s father is 26 years younger than Batching s grand father and 29 years older than Baching.The sum of the ages of all the three is 135 years.What is the age of each of them?

Answer 1

$x + (x + 29) + (x + 26 + 29) = 135$
$3x + 84 = 135$
$3x = 51$
$x = 17$

Baching is 17 his father is 46 and grandfather is 72

Answer 2

We can create some equations with this

Let f = Batching's father's age

Let g = Batching's Grandfather's age

Let b = Batching's age

f = g - 26

f = b + 29

f + g + b = 135

To solve this, plugin the solution for one equation into another

f + 26 = g

f - 29 = b

f + f + 26 + f - 29 = 135

3f - 3 = 135

3f = 138

f = 46

Now that we have the fathers age, we can get the other's age

46 = g - 26

46 = b + 29

meaning that f = 72

and b = 17

Batching's father's age = 46

Batching's Grandfather's age = 72

Batching's age = 17