Question

The average age of 15 persons is 32 years. If the if two more persons are added then the average is increased by 3 years. The new person have an age difference is 11 years between the then the age of the younger among the new person is?​

Answer 1

34 year old will be the answer

Answer 2

The age of younger one is 52 years.

Step-by-step explanation:

Since we have given that

Number of persons = 15

Average age = 32 years

If two more persons are added say 'a' and 'b'

Average increases by 3 years

New average =32 + 3  =35 years

It becomes,

$\dfrac{15\times 32+a+b}{17}=35\\\\480+a+b=17\times 35=595\\\\a+b=595-480\\\\a+b=115$

The new person have an age difference is 11 years between them,

So, it becomes,

$a-b=11$

Now, using both the equations we get that

$a+b=115\\\\a-b=11\\\\--------------------\\\\2a=126\\\\a=\dfrac{126}{2}\\\\a=63$

Hence, the age of younger one is given by

$63-b=11\\\\63-11=b\\\\52=b$

Therefore, the age of younger one is 52 years.

# learn more:

The difference of Ages of two person is 5 years. after 7 years the age of older person will become 22 years find the present age of younger person

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