Web Analytics
shreyHageeLilaHav
Answered

One number is 2 times another number plus 3. Their sum is 21. Find the numbers. If x represents the smaller number, which of the following equations could be used to solve the problem? 2x + 3 = 21 3x + 3 = 21 3x + 6 = 21

Verified Answer :

Let first number be x and the second number be y
y = 2x + 3_______1
x + y = 21
y = 21 - x _______2
Substitute 2 into 1
21 - x = 2x + 3
Rearrange the equation ^
2x + 3 = 21 - x
3x + 3 = 21
THEREFORE, The 2nd option out of the three is correct.

Answer:

Option 2nd is correct

\(3x+3 = 21\)

Step-by-step explanation:

Here, x represents the smaller number.

As per the statement:

One number is 2 times another number plus 3. Their sum is 21.

"One number is 2 times another number plus 3" translated to

x = smaller number = another number

⇒\(\text{One number} = 2x+3\)

It is also given that: Their sum is 21.

⇒\(\text{One number}+x = 21\)

Substitute the given value we have;

\(2x+3+x = 21\)

Combine like terms:

\(3x+3 = 21\)

Therefore,  the following equations could be used to solve the problem is, \(3x+3 = 21\)

Related Questions