Question

If 5 is subtracted from a number and the difference is multiplied by 6, the result is 6 more than two times the number

Answer 1

Answer:

The number required here is 9.

Step-by-step explanation:

According to the question let a number a,

It is given that if 5 is subtracted from a number and the difference is multiplied by 6, the result is 6 more than two times the number .

So,

1 . 5 subtract from the number = a - 5

2 . difference multiplied by 6 = 6( a - 5 )

Given that the result is 6 more than two times the number.

Now,

Two times of a = 2a

According to the question : -

As the result is 6 more than 6( a - 5 ), subtract 6 from 2a to make them equal to each other.

= >  6( a - 5 ) - 6 = 2a

= >  6a - 30 - 6 = 2a

= >  6a - 2a = 30 + 6

= >  4a = 36

= >  a = 36 / 4

= >  a = 9

Therefore the required number is 9.