Question

Three people are discussing their ages. They discover that the sum of their age is exactly 100.
Also, all three of them have a different age. If the youngest among them is 32 years old, how
old is the eldest? (Assume that the age of each of the three people is an integer value)
1) 33 years
2) 34 years
3) 35 years
4) 36 years​

Answer 1

oldest is of 35 years old

Answer 2

SOLUTION

GIVEN

Three people are discussing their ages. They discover that the sum of their age is exactly 100. Also, all three of them have a different age. If the youngest among them is 32 years old

TO DETERMINE

The age of the eldest (Assume that the age of each of the three people is an integer value)

EVALUATION

Here it is given that Three people are discussing their ages. They discover that the sum of their age is exactly 100.

Also, all three of them have a different age. If the youngest among them is 32 years old

Let the ages of rest two peoples are x years , y years

Where x > y > 32

So by the given condition

$\sf{x + y + 32 = 100}$

$\sf{ \implies \: x + y = 68}$

This is linear equation

Now

When x = 33 we have y = 35 which contradicts x > y

When x = 34 we have y = 34 which contradicts all three of them have a different age

When x = 35 we have y = 33 which is possible

When x = 36 we have y = 32 which contradicts all three of them have a different age

Hence possible Solution is x = 35 , y = 33

Hence the ages of rest two peoples are 35 years , 33 years

Hence the age of eldest = 35 years

FINAL ANSWER

Hence the correct option is

3) 35 years

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