Tamara has two sisters. one of the sisters is 7 years older than Tamara. The other sister is 3 years younger than Tamara. the pr oduct of Tamara’s sisters’ ages is 24. How old is tamara?
2 answers:
Answer:
5
Step-by-step explanation:
24=x+(x-3)+(x+7)
Answer:
Tamara is 5 years old.
Step-by-step explanation:
W e c a n f i n d T a m a r a ' s a g e b y m a k i n g e x p r e s s i o n i n t e r m o f x . I t i s g i v e n t h a t 1 s t s i s t e r i s 7 y e a r s o l d e r a n d 2 n d s i s t e r 3 y e a r s y o u n g e r . S o w e c a n s t a r t m a k i n g e x p r e s s i o n s :
Let x be Tamara's age,
Older sister,
x + 7
Younger sister,
x - 3
G i v e n t h a t t h e p r o d u c t o f T a m a r a ' s a g e s i s 2 4 w h i c h m e a n s y o u c a n m u l t i p l y b o t h o f t h e s i s t e r t o g e t h e r :
1st × 3rd = 24
(x+7)(x-3) = 24
x² - 3x + 7x - 21 = 24
x² + 4x - 21 = 24
N o w , w e h a v e t o s o l v e t h e e x p r e s s i o n b y f a c t o r i s a t i o n :
x² + 4x - 21 = 24
x² + 4x - 45 = 0
(x+9)(x-5) = 0
x = -9(rejected)(age cannot be negative number)
x = 5
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The Answer is B. I hope this helped.
Answer:
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Step-by-step explanation:
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