present age of charlie is 45 years
present age of priya is 25 years
Step-by-step explanation:
Let start from five years ago
Let at that age of Priya was x years
given that
Charlie was twice older than Priya
age of Charlie = 2x
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present age of charlie = age 5 years ago + 5 years = 2x + 5
present age of priya = age of priya 5 years ago + 5 years x + 5 = x + 5
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age of charlie 3 years from now = present age of charlie + 3 years
age of charlie 3 years from now =2x + 5 + 3 = 2x + 8
age of priya 3 years from now = present age of priya + 3 years
age of priya 3 years from now =x + 5 + 3 = x + 8
Given that
in 3 years the sum of their ages will be 76
thus
sum of their ages in 3 years from now = x + 8 + 2x + 8 = 76
=> 3x + 16 = 76
=> 3x = 76-16 = 60
=> x = 60/3 = 20
Thus,
present age of charlie = 2x + 5 = 2*20 + 5 = 45 years
present age of priya = x + 5 = 20 + 5 = 25 years
Answer:
-5
Step-by-step explanation:
Parallel lines have the same slope, so it would just be -5
XY = -4
(x − 4)(x − 5)
(x − 2)(x − 10)
(x + 4)(x + 5)
(x + 2)(x + 10)
The factored form of the polynomial x² + 9x + 20 is ( x + 4 ) ( x + 5 )
Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :
From the value of Discriminant , we know how many solutions the equation has by condition :
D < 0 → No Real Roots
D = 0 → One Real Root
D > 0 → Two Real Roots
Let us now tackle the problem!
Given :
To factor this form, we first look for the following operations:
_ + _ = 9
_ × _ = 20
To fill in the blanks, the matching numbers are :
4 + 5 = 9
4 × 5 = 20
Next, the above equation can be factorized into:
Grade: High School
Subject: Mathematics
Chapter: Quadratic Equations
Keywords: Quadratic , Equation , Discriminant , Real , Number
Answer:
(C)(x + 4)(x + 5)
Step-by-step explanation:
The given equation in the form of polynomial is:
Factorizing the above given equation, we get
Taking x+5 common, we have
which is the required factorised form.
Therefore the factors of the given polynomial are .
Thus, Option (C) is correct.
Answer:
1. 100 1. 150 1. 1
2.45 2. 800
Step-by-step explanation:
1. 25% * 400 = 0.25 * 400 = * 400 = 100
2. 50% * 90 = 45
1. 75% * 200 = 0.75 * 200 = 3/4 * 200 = 150
2. 10% * 8000 = 0.1 * 8000 = 800
1. 5% * 20 = 0.05 * 20 = 1