Question

The sum of three numbers is 252. If the first number is thrice the second and
third number is two-third of the first, then the second number is ……….....

A) 42

B) 21

C) 41

D) 84​

Answer 1

Answer: Option - A [ 42 ]

EXPLANATION:

GIVEN:

Sum of three numbers = 252

First number is thrice the second and third number is two-third of the first.

TO FIND:

The second number.

SOLUTION:

Let the second number be x

First number be '3x'

Third number = 2/3.3x= 2x

According to the problem,

==> x + 3x + 2x = 252

==> 6x = 252

==> x = 252/6

==> x = 42

Therefore, the second number is 42.

Answer 2

Given :-

• Sum of 3 numbers = 252
• First number = thrice the second & third number = two-third of the first.

To find :-

• Second number

Solution :-

Let the three numbers be m, n & p respectively.

Case 1 :

⇒ m + n + p = 252 ----- eq.(i)

Case 2 :

⇒ m = 3n

⇒ p = ⅔ of m

⇒ p = 2m/3

⇒ p = 2(3n)/3

⇒ p = 2n

Putting both values in eq.(i)

⇒ 3n + n + 2n = 252

⇒ 6n = 252

⇒ n = 252/6

⇒ n = 42

Therefore,

→ First number = m = 3n = 3(42) = 126

→ Second number = n = 42

→ Third number = p = 2n = 2(42) = 84

Hence, Your required number = A)42