Question

if 7 is added to twice a number and this sum is multiplied by 4 the result is the same as if the number is multiplied by 5 and 10 is added to the product. what is the number?

Answer 1

Answer:

-6

Step-by-step explanation:

Lets assume a number be "x".

As given, lets put in an expression:

= $4\times (2x+7)$   ---  (first)

= $5x+10$----- (second)

As known both the expression are same.

⇒ $4\times (2x+7)$ = $5x+10$

Opening the parenthesis and distributing the number 4 with 2x and 7.

⇒ $8x+28= 5x+10$

subtracting both side by 28 and 5x

⇒ $3x= -18$

cross multiplying

∴ x= $\frac{-18}{3} = -6$

x= -6

On subtituting the value of x on the expression.

$4\times (2x+7)$ = $5x+10$

We get, -20=-20, which is equal.