Question

A number is 6 more than two times another number. The sum of the two numbers is 24. Find the numbers.​

Answer 1

Answer:

6,18

Step-by-step explanation:

Let the no. be x and other no be 2x+6

hence ,

x+2x+6=24

3x+6=24

3x=18

x=6

Answer 2

Answer:-

$\red{\bigstar}$ The numbers are$\large\leadsto\boxed{\rm\purple{6 \: and \: 18}}$

• Given:-

A number is 6 more than two times another number.

Sum of the two numbers is 24.

• To Find:-

The numbers

• Solution:-

Let a number be 'x'.

The other number is 6 more than two times another number.

Hence,

2x + 6

The sum of two numbers is 24.

Therefore,

➙ $\sf x + 2x + 6 = 24$

➙ $\sf 3x = 24 - 6$

➙ $\sf 3x = 18$

➙ $\sf x = \dfrac{18}{3}$

★ $\bf\green{x = 6}$

• Substituting in the value of x:-

➙ $\sf 2x + 6$

➙ $\sf 2 \times 6 + 6$

➙ $\sf 12 + 6$

★ $\bf\green{18}$

Therefore, the two numbers are 6 and 18.

Verification:-

➙ $\sf 6 + 18 = 24$

➙ $\sf 24 = 24$

L.H.S = R.H.S

★ HENCE PROVED