Question

balu is three times as old as ramu. elango is 8 years younger than balu ramu is 7 years older than Krishna. jf the sum of the ages of all four people is 161. how many years old is ramu
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Answer 1

Answer:

Ramu is 22 years old.

Step-by-step explanation:

Let Ramu's age be x

Let Balu's age be y

Let Elango's age be z

Let Krishna's age be a

Now according to the question:

y = 3x or x = y/3  ------(1)

z = y-8 or y = z+8 ------(2)

x = a+7 or a = x-7 ------(3)

Now:

x + y + z + a = 161

(x + ( 3x ) ) + ( y - 8 ) + ( x - 7 ) = 161  -------(since (1),(2),(3))

(4x ) + ( (3x) - 8) + x - 7 = 161  --------(since(1))

4x + 3x + x - 8 - 7 = 161

8x - 15 = 161

8x = 161 + 15

8x = 176

x = 176 ÷ 8

x = 22 years

Therefore ramu's age is 22. If you want others age you can substitute ramu's age. Hope this is crystal clear explanation .

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Answer 2

Answer:

Ramu's age is 22 years.

Step-by-step explanation:

Let,

• Ramu's age = x
• Balu's age = 3x
• Elango's age = 3x - 8
• Krishna's age = x - 7

The sum of the ages of all four people is 161

★ According to the Question :

⇒ (x) + (3x) + (3x - 8) + (x - 7) = 161

⇒ 8x - 15 = 161

⇒ 8x = 161 + 15

⇒ 8x = 176

⇒ x = 176/8

⇒ x = 22

Ramu's age = 22 years

Therefore, Ramu's age is 22 years.

____________________________

★ Verification :

x = 22

• Ramu's age = 22 years

So,

• Balu's age = 3x = 66 years

⇒ 22 × 3 = 66

• Elango's age = 3x - 8 = 58 years

⇒ 3 (22) - 8

⇒ 66 - 8 = 58

• Krishna's age = x - 7 = 15 years

⇒ 22 - 7 = 15

The sum of the ages of all four people is 161

⇒ 22 + 66 + 58 + 15 = 161.