The difference between the ages of two of my three grandchildren is 3. My…

2026

The difference between the ages of two of my three grandchildren is 3. My elder grandchild is three times older than the age of my youngest grandchild and my eldest grandchild’s age is two years more than the ages of my two youngest grandchildren added together. How old is my eldest grandchild?

  1. A.

    10

  2. B.

    13

  3. C.

    15

  4. D.

    12

Attempted by 295 students.

Show answer & explanation

Correct answer: C

Explanation

Let the age of youngest grandchildren be x, then eldest = 3x.

Now according to question

3x = y + x + 2

=> y = 2x -2

so ages of all the 3 grandchildrens are 3x , 2x-2 and x respectively.

also difference between two of the child’s ages is 3

so 2x-2 -x = 3=>

x = 5

This is the ages of youngest grandchild

Now the age of eldest grandchild will be

3x = 15

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