Question

The ratio of two numbers is 13 : 15 . Find the numbers if their sun is 364​

Answer 1

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Answer 2

Answer :

›»› The required numbers are 169 and 195.

Step-by-step explanation :

Given :

• The ratio of two numbers = 13 : 15.
• The sum of two numbers = 364.

To Find :

• The required twi numbers = ?

Solution :

Let us assume that, the two numbers are 13x and 15x respectively.

As it is given that, the sum of two numbers is 364.

→ 13x + 15x = 364.

According to the given question,

→ 13x + 15x = 364

→ 28x = 364

→ x = 364/28

→ x = 13.

Therefore,

The two required numbers will be,

• 13x = 13 × 13 = 169.
• 15x = 15 × 13 = 195.

Hence, the required numbers are 169 and 195.

Verification :

The sum of two numbers is 364.

→ 169 + 195 = 364

→ 364 = 364.

Clearly LHS = RHS.

Here both the conditions satisfy, so our answer is correct.

Hence Verified !