Question

Ben is 4 times as old as Ishaan and is also 6 years older than Ishaan.
How old is Ben?

Answer 1

Given :-

• Ben is 4 times as old as Ishaan.

• Ben is 6 years older than Ishaan.

To find :-

• age of Ben

Let :-

• Ishaan age be x
• Ben age be 4x

Solution :-

✪According to question:-

Ben is 6 years older than Ishaan

So :-

• Ben age - Ishaan age = 6 years

put supposed values

• 4x - x = 6
• 3x = 6
• x = 6 ÷ 3
• x = 6/3
• x = (2 × 3)/3
• x = 2/1
• x = 2

Original Ages :-

• Ishaan age = x
• Ishaan age = 2 years

• Ben age = 4x
• Ben age = 4(2)
• Ben age 4 × 2
• Ben age = 8 years

✪Verification :

1st condition:-

• Ben age - Ishaan age = 6 years

put original ages

• 8 - 2 = 6
• 6 = 6

LHS=RHS

Hence verified !

Required answer :-

Ben's age = 8 years