Please help quickly
The product of Lisa and her twin brothers is 36. The sum of their ages is 13 how old can Lisa be?
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Answer:
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Answer: 2 years old or 4.5 years old
There are 2 possible answers
Step-by-step explanation:
To solve this equation, we can use the quadratic formula
L = Lisa’s age
x = The twin brother’s age
1. L × 2x = 36
From to 1
= (13 - 2x) × 2x = 36
÷ 2 ÷2
= x (13 - 2x) = 18
= 13x - = 18
= - 13x + 18 = 0
= (2x - 9)(x - 2) = 0
We get 9 and 2 by plugging in numbers from X, 2, 3, 6, 9, 18 and seeing if they work or not.
= - 4x - 9x + 18 = 0
= - 13x + 18 = 0
To prove that the there can be 2 ages, we do:
(A) x-2 = 0
= x = 2
(B) 2x - 9 = 0
= 2x = 9
= x = 9/2 = 4.5
2. L + 2x = 13
: = L = 13 - 2x
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