Question

The sum of two numbers is 15. When one of those numbers is added to three times the other, the result is 27. What are the numbers?

Answer 1

Answer:

• Required numbers are 6 and 9

Explanation:

Let, two numbers are x and y

then,

→ Sum of numbers = 15

→ x + y = 15

→ x = 15 - y     ______equation ①

Now,

When one of those numbers is added to three times the other the result is 27, so

→ first number + 3 ( second number ) = 27

→ x + 3 y = 27

using equation ①

→ ( 15 - y ) + 3 y = 27

→ 15 - y + 3 y = 27

→ 2 y = 27 - 15

→ 2 y = 12

→ y = 12 / 2

→ y = 6

putting value of y in equation ①

→ x = 15 - y

→ x = 15 - ( 6 )

→ x = 9

Therefore,

• Two required numbers are 6 and 9 .

Answer 2

Answer:

✡ Given ✡

➡ The sum of two numbers is 15.

➡ When one of those numbers is added three times then the other numbers will be 27.

✡ To Find ✡

➡ What are the numbers.

✡ Solution ✡

✏ Let the first number be x.

✏ And the second number will be 15-x.

▶ According to the question,

=> 3x+(15-x) = 27

=> 3x+15-x = 27

=> 3x-x = 27-15

=> 2x = 12

=> x = $\dfrac{12}{2}$

=> x = 6

▶ Again,

=> 15-x

=> 15-(6)

=> 15-6

=> 9

Therefore, The first number will be 6 and the second number will be 9.