If the sum of five times a number and two times the same number is increased by 4, the result is 25. Find the number.

Respuesta :

Answer:

The number x = 3

Step-by-step explanation:

Let 'x ' be the positive integer

Given data If the sum of five times a number and two times the same number  and the same number is increased by 4 and the result is 25

sum of five times a number is 5 x and same number two times is 2 x and increased by 4 (addition) then result is equal to 25

so finally  5 x +2 x +4 = 25

               7 x + 4 = 25

subtracting '4' on both sides , we get

               [tex]7 x = 25 -4[/tex]

               7 x = 21

dividing '7' on both sides, we get

[tex]\frac{7x}{7} = \frac{21}{7}[/tex]

[tex]x=3[/tex]

Therefore the number is x = 3

Verification :-

5 x +2 x +4 = 25

substitute x = 3 in above equation

15+6+4 = 25

25 =25

Final answer :-

The number is 3

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