When an integer is subtracted from 7 times next consecutive even integer, the difference is 50. Find the value of the lesser integer

Respuesta :

Answer:

The value of lesser integer will come out to be 6

Step-by-step explanation:

Let the required lesser integer be x and its even consecutive integer would become x+2 .

What is a consecutive number?

A number is said to be consecutive if it follows a order after other number either an even number or an odd number.

Following equations will be in order;

[tex]7(x+2)-x = 50[/tex]

Solving the above equation we get

[tex]7x+14-x = 50[/tex]

[tex]6x+14=50[/tex]

[tex]6x= 50-14= 36[/tex]

[tex]x = 6[/tex]

And,

[tex]x+2 = 8[/tex]

Hence the value of lesser integer will come out to be 6.

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