Question

Two numbers are in the ratio 2:3 and their sum id 45 then find both numbers​

Answer 1

Now we have to,

find the both required numbers.

It is given that,

→ Two numbers are in the ratio 2:3.

→ Their sum is 45.

Now assume numbers as,

→ 2y and 3y

As per the given information,

→ 2y + 3y = 45

First we can find the value of y,

→ 2y + 3y = 45

→ 5y = 45

→ y = 45/5

→ [y = 9]

The given ratio is,

→ 2 : 3

Let's find the value of 2y,

→ 2y --- {y = 9}

→ 2 × (9)

→ 18

Let's find the value of 3y,

→ 3y --- {y = 9}

→ 3 × (9)

→ 27

Hence, the number is 18 and 27.

Answer 2

Let the numbers be 2x and 3x.

According to the Question,

⇒ 2x + 3x = 45

⇒ 5x = 45

⇒ x = 45/5

⇒ x = 9

Now finding the values of both the number,

⇒ 2x = 2 × 9

= 18

⇒ 3x = 3 × 9

= 27

Hence, the value of both the number is 18 and 27 respectively.