Math, asked by vihani66, 3 months ago

Two numbers are in the ratio 5 : 4 and their sum is 162. Find the numbers. Please send in picture.

Answers

Answered by parameshparamesh
2

Refer to the attachment for your answer

I hope it helped you

parameshwari

brainliest please

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Answered by Rubellite
9

\Large{\underbrace{\sf{\orange{Required\:Solution:}}}}

Given :

  • Two numbers αre in the rαtio 5:4 αnd their sum is 162.

To Find :

  • The numbers.

Solution :

Let's αssume thαt the numbers be 5x αnd 4x.

According to the question,

\longrightarrow{\sf{ 5x + 4x = 162}}

\longrightarrow{\sf{ 9x = 162}}

\longrightarrow{\sf{ x = \dfrac{162}{9}}}

\longrightarrow{\bf{ x = 18}}

So, the numbers αre

\displaystyle{\sf{ 5x = 5\times 18}}\large\implies{\boxed{\bf{\orange{ 90}}}}

\displaystyle{\sf{ 4x = 4\times 18}}\large\implies{\boxed{\bf{\orange{ 72}}}}

And we αre done! :)

________________________________

Verificαtion

L.H.S - \displaystyle{\sf{ 5x + 4x}}

\implies{\sf{ 72 + 90 = 162}}

R.H.S - \displaystyle{\sf{ 162}}

L.H.S. = R.H.S.

Hence, verified! :)

_____________________


Anonymous: wow cool u typed the whole thing!
Anonymous: Awesome!
Anonymous: Well done ✅
Rubellite: Thank y'all! <3
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