Question

Brand A has a recognition value worth ​$47 billion more than brand B. If the total value of these two brands is ​$103 ​billion, find the value of each of the brands.

Answer 1

Answer:

The value of brand A=$75 billions

The value of brand B=$28 billions.

Step-by-step explanation:

Let the value of brand B be x billions.

We are told that brand A worth $47 more than brand B.

This implies that in terms of x the value of brand A is (x+47) billions.

Also, the total of both brand is $103 billions. Hence, we can write the following mathematics equation and solve for x.

$\implies x + x + 47 = 103$

$\implies 2x+ 47 = 103$

subtracting 47 from both sides.

$\implies 2x+ 47 - 47= 103 - 47$

$\implies 2x=56$

Dividing through by 2.

$\implies \frac{2x}{2} = \frac{56}{2}$

$\implies x=28$

Therefore,

the value of brand B is $28 billions, and

the value of brand A=($28+$47)=$75.