Question

The sum of two numbers is 26. One of the numbers is 2 more than twice the other. Find
the numbers.
[HOT]​

Answer 1

Answer:

Given :-

• Sum of two numbers = 26
• One is 2 more than twice of other

To Find :-

Numbers

Solution :-

Let the smaller number be x

And greater number be 2x + 2

$\quad \quad \sf \: x + 2x + 2 = 26 \quad$

$\quad \quad \sf \: 3x + 2 = 26$

$\quad \quad \sf \: 3x = 26 - 2$

$\quad \quad \sf3x = 24$

$\quad \quad \sf \: x = \cancel \dfrac{24}{3}$

$\quad \quad \frak \pink{x = 8}$

Numbers are

$\sf \: x \: = 8$

$\sf2x + 2 = 2(8) + 2 = 16 + 2 = 18$

Answer 2

Answer :-

• The Numbers are 8 and 18.

Explanation :-

Given : The sum of two numbers is 26. One of the numbers is 2 more than twice the other.

To Find : The Numbers.

Solution :

Let first Number be x.

So, Second Number = 2x + 2.

★ According to the Question,

⇢ x + 2x + 2 = 26.

⇢ 3x + 2 = 26.

⇢ 3x = 26 - 2.

⇢ 3x = 24.

⇢ x = 24 ÷ 3.

⇢ x = 8.

Therefore,

• First Number = x = 8.

• Second Number = 2x + 2 = 18.

Verification :-

⇢ x + 2x + 2 = 26.

⇢ 8 + 2(8) + 2 = 26.

⇢ 8 + 18 = 26.

⇢ 26 = 26.

LHS = RHS.

Hence, Verified.