Question

9. One number is greater than the other number by 3. The sum of two numbers is 23. The two number are:

(A) 13,10 (B) 15,8 (C) 14,9 (D) 12,11​

Answer 1

$\huge\bf{\underline{\underline{Answer:}}}$

$\huge\implies{\boxed{\sf{\red{(A)13,10}}}}$

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$\huge\bf{\underline{\underline{Explanation:}}}$

Let the number be x then the other number will be x + 3.

According to the question,

:$\implies{\sf{x + (x + 3)=23}}$

:$\implies{\sf{2x + 3 = 23}}$

:$\implies{\sf{2x=23-3}}$

:$\implies{\sf{2x=20}}$

:$\implies{\sf{x= \dfrac{20}{2}}}$

:$\implies{\sf{x=10}}$

Hence, the two numbers are x = 10 and x+3 = 10+3 = 13.

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Answer 2

Question:-

• One number is greater than the other number by 3. The sum of two numbers is 23.

Find:-

• The two numbers are

Solution:-

The first number is 10 and the second is 13.

Step-by-step explanation:

Lets suppose that x is the smaller number.

So,

Smaller number= x      

 Bigger number=3+x

( Because the second number is greater by 3.)

→x+3+x=23

→2x+3=23

→2x=23-3

→2x=20

→x=20/2

→x=10.(First number)

So, Second number will be :-

→3+x

→3+10

→13.

Hence, The two numbers will be 13, 10

So, the Option A is correct.