Respuesta :

3/5=a+5/25

a+5/25=3/5

25(a+5)/25=3*25/5

a+5=15

a+5-5=15-5

a=10

Answer: a=10

Step-by-step explanation:

The given proportion: [tex]\frac{3}{5}=\frac{a+5}{25}[/tex]

To determine the value of a in the given proportion , we need to multiply 25 on both the sides, we get

[tex]\frac{25\times3}{5}=\frac{25\times(a+5)}{25}\\\\\Rightarrrow 15=a+5[/tex]

Now, subtract 5 on both the sides, we get

[tex]\\\\\Rightarrrow10=a\ or\ a=10[/tex]

Hence, the value of x =10.