Question

8. The sum of two numbers is 18. If one is twice the other, find the numbers
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Answer 1

Given :

• Sum of two number is 18
• If one is twice the other number

To find :

• The numbers

According to the question,

Let,

• The number be x
• Other number be 2x

➟ x + 2x = 18

➟ 3x = 18

➟ x = 18 ÷ 3

➟ x = 6

So,

• The number are x = 6
• Other number 2x = 2(6) = 12

_________________________

VERIFICATION :

As we know,

• Sum of two number is 18

So,

• The first number = 6
• Second number = 12

➟ First number + Second number

➟ 6 + 12

➟ 18

Hence, verified.

Answer 2

Answer:

Given :-

• Sum of two numbers = 18
• One is twice than other

To Find :-

Numbers

Solution :-

Let the smaller number be x

Larger number will be 2 × x = 2x

$\tt \mapsto \: 2x + x = 18$

$\tt \mapsto \: 3x = 18$

$\tt \mapsto \: x = \cancel\dfrac{18}{3}$

$\tt \mapsto x = 6$

Numbers are

$\mathfrak \pink{x = 6}$

$\frak \green{2x = 2(6) = 12}$

Verification :-

$\tt \mapsto \: x + 2x = 18$

$\tt \mapsto \: 6 + 2(6) = 18$

$\tt \mapsto \: 6 + 12 = 18$

$\tt \mapsto \: 18 = 18$

Hence, Verified