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Two numbers are such that the ratio between them is 3:5. If each is increased by 10, the ratio
between the new numbers so formed is 5:7. Find the original numbers.

Respuesta :

Answer:

[tex]15[/tex]  [tex]and[/tex]  [tex]25[/tex]

Step-by-step explanation:

We have two variables, x and y.

So, we now know that  [tex]x/ y[/tex]  [tex]=  3/5[/tex]

[tex]x = (3y) / 5[/tex]

So then,

[tex]( x + 10) / (y+10) = 5:7[/tex]

[tex]7(x+10) = 5(y+10)[/tex]

[tex]7x = 5y + 50 - 70 = 5y - 20[/tex]

Y.

[tex]7(3y/5) = 5y - 20[/tex]

[tex]21y = 25y - 100[/tex]

[tex]25y - 21 y = 100[/tex]

[tex]y = 100/4[/tex]

[tex]y = 25[/tex]

X.

[tex]x = (3*25) / 5[/tex]

[tex]x = 15[/tex]

So then the numbers are 15 and 25

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