Question

8. The sum of two numbers is 9. If one number is twice
the other number, find the two numbers.



please give answer eit explanation ​

Answer 1

Given :

• The sum of two numbers is 9.

• If one number is twice the other number.

To Find :

• The two numbers = ?

SoluTion :

• So, here let's assume one number as x and the other number as 2x

Now,

$: \implies \tt \: x \: + 2x = 9$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$: \implies \tt \: 3x = 9$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$: \implies \tt \: x \: = \cancel \dfrac{9}{3} \:$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$: \implies \tt \: x = \bf 3$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$: \implies \tt \: 2x \: = 2 \times 3$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$: \implies \tt \: 2x = \bf 6$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

∴ Hence the two numbers are 3 and 6

Answer 2

$\: {\underline{{\sf{{ Given :- }}}}}$

☞︎︎︎ The Sum Of Two Number Is 9.

☞︎︎︎ One Number is twice than other Number.

$\: {\underline{{\sf{{ To \ Find :- }}}}}$

☞︎︎︎ The Two Numbers .

$\: {\underline{{\sf{{ Assumption :- }}}}}$

☞︎︎︎ Let The Two numbers Be X and Y .

$\: {\underline{{\sf{{ Solution :- }}}}}$

✪ According To First Condition

⇝ ㅤX + Y = 9ㅤㅤㅤㅤㅤㅤ....... ( 1 )

✪ According To Second Condition

⇝ X = 2Yㅤㅤㅤㅤㅤㅤㅤㅤ....... ( 2 )

✪ Put the value of X in Equation ( 1 ).

⇝ 2Y + Y = 9

⇝ 3Y = 9

⇝ Y = 3.

✪ Put Value Of Y in Euation ( 2 )

⇝ X = 2(3)

⇝ X = 6

$\: {\underline{{\sf{{ Answer :- }}}}}$

$\boxed{\mathsf{Two \ Number \ are \ 3 \ and \ 6}}$

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