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Two numbers are in a ratio of 3:11. When their sum is decreased by five the result is 135. Find the numbers.

Respuesta :

Answer:

The numbers are 30 and 110

Step-by-step explanation:

Let

x ----> the first number

y ----> the second number

we know that

[tex]\frac{x}{y}=\frac{3}{11}[/tex]

[tex]x=\frac{3}{11}y[/tex] -----> equation A

[tex](x+y)-5=135[/tex] ----> equation B

substitute equation A in equation B and solve for y

[tex](\frac{3}{11}y+y)-5=135[/tex]

[tex]\frac{14}{11}y=135+5[/tex]

[tex]\frac{14}{11}y=140[/tex]

[tex]y=140(11)/14\\y=110[/tex]

Find the value of x

[tex]x=\frac{3}{11}110=30[/tex]

therefore

The numbers are 30 and 110