Question

Two numbers are in the ratio 2:3.if the sum of the numbers is 135, find the numbersTwo numbers are in the ratio 2:3.if the sum of the numbers is 135, find the numbers

Answer 1

Answer:

One number = 54

Second number = 81

Step-by-step explanation:

Given :

Two numbers are in the ratio 2:3

The sum of the numbers is 135

To find:

The numbers

Solution:

Let,

One number be 2x

Second number be 3x

So,

⇒ 2x + 3x = 135

⇒ 5x = 135

⇒ x = 135 / 5

⇒ x = 27

★ One number = 2x

⇒ 2 (27)

⇒ 2 × 27

⇒ 54

★ Second number = 3x

⇒ 3 (27)

⇒ 3 × 27

⇒ 81

Therefore,

One number = 54

Second number = 81

Answer 2

Correct Question

Two numbers are in the ratio 2:3.if the sum of the numbers is 135, find the numbers.

Answer:

54 , 81

Step-by-step explanation:

Given :

• Numbers are in ratio of 2:3

• Sum is 135.

To find :

The numbers.

Assumption:

Let's assume the numbers to be 2x and 3x

Procedure:

According to the question :

$\sf \: 2x + 3x = 135$

$\sf \implies \: 5x = 135$

$\sf \implies x = \dfrac{ \cancel{135}}{ \cancel{5} }$

$\sf \implies \: x = 27$

So , As we assumed :

The first number = 2x = 2×27 = 54

The second number = 3x = 3×27 = 81

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• The sum of newly obtained number should be 135

$54 + 81 = 135$

hence proved.

What you need to know ?

• These questions are seemingly very easy and can be solved by just looking at it if practiced nicely.

• The question is from ratio and propotion involving linear equation in one variable which is a nice dose for mental exerscise.

• These questions are one of those questions which are widely asked in competative exam like IMO based on your class level.

• More questions are to be practiced with same.