Question

The sum of two number is 6 if one is twice the other. find the number​

Answer 1

$\huge{\underline{\underline{\sf \blue{Required \: Answer:-}}}}$

GIVEN:-

• Sum of two numbers = 6
• One number is twice the other.

TO FIND:-

• The number.

SOLUTION:-

Suppose one number is x.

∴ Other number must be 2x.

$\large\underline {\overline{ \sf \orange{Putting \: all \: values \: \huge\dag}}}$

$\huge \therefore \huge \boxed{ \sf {2x + x = 6}}$

$: \large \implies \sf \gray{3x = 6}$

$: \large \implies \sf \gray{x = \dfrac{6}{3} }$

$: \large \implies \sf \gray{x = \cancel\dfrac{6}{3}}$

$: \large \implies \sf \red{x = 2} \: \: \pink\bigstar$

ANSWERS:-

• The first number = x = 2.
• The second number = 2x = 2 × 2 = 4.

Answer 2

Answer:

The number is 2 ✔✔

Step-by-step explanation:

Given that,

The sum a number and twice the number the itself is 6.

Solution :

If we consider the number as x the other number will be 2x (2× itself)

Their sum is 6

So equation form like this :

→ 2x + x = 6

Solving for x :

→ 2x + x = 6

→ 3x = 6

→ x = 6/3

→ x = 2

Therefore the number is 2 ✔

Check point :

As we got the number as 2

So,in accordance to the question sum of 2 and 2*2 will be 6

→ 2 + (2*2) = 6

→ 2 + 4 = 6

→ 6 = 6

Since,

→ L. H. S. = R. H. S.

Hence, verified ✔✔