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Anna007 [38]
3 years ago
5

Trina has two brothers. one brother is 7 years older than trina and the other brother is 7 years younger than trina. the product

of her brothers age is 95.
a. if x represents trinas age, write an equation to describe the product of her brothers ages.
b. solve the equation for x how old is trina.
Mathematics
2 answers:
s2008m [1.1K]3 years ago
7 0
B and c are brothers
b=7+x
c=x-7

bc=95
a.
(x+7)(x-7)=95

b.
x^2-49=95
add 49 to both sides
x^2=144
sqrt both sides
x=12
tina=12
vredina [299]3 years ago
7 0

Answer:

(a) (x-7)(x+7)=95

(b) Trina is 12 years old.

Step-by-step explanation:

(a)

Let x represents trinas age.

It is given that trina has two brothers. one brother is 7 years older than trina and the other brother is 7 years younger than trina.

Age of elder brother = x+7 years

Age of youger brother = x-7 years

Product of her brothers age = (x-7)(x+7)

It is given that the product of her brothers age is 95.

(x-7)(x+7)=95

(b)

We need to solve the equation

(x-7)(x+7)=95

x^2-7^2=95               [\because a^2-b^2=(a-b)(a+b)]

x^2-49=95

Add 49 on both sides.

x^2=95+49

x^2=144

Taking square root both sides.

x=\pm \sqrt{144}

x=\pm 12

The values of x are -12 and 12. But age of a person can not be negative.

Therefore value of x is 12. It means trina is 12 years old.

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