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Yuki888 [10]
3 years ago
12

Jon is 14 years older than Philip.Two years from now,Jon will be 3 times as old as Philip.How old is each now?

Mathematics
1 answer:
DanielleElmas [232]3 years ago
7 0

Philip is 5 years old and Jon is 19 years old now.

Step-by-step explanation:

Step 1 :

Let x be the age of Philip Now

Since Jon is 14 years older than Philip,

Age of Jon = 14 + x

Step 2 :

After  2 years,

Age of Philip = x+ 2

Age of Jon = 14+x+2 = 16+x

Step 3 :

Given that in 2 years, Jon will be 3 times as old as Philip.

So we have 16 + x =3(x+2)

=> 16 + x = 3x +6

=> 2x = 10 = x = 5

Hence age of Philip is 5 years

Age of jon = x + 14 = 5+ 14 =19 years

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Read 2 more answers
The length of rectangle is 3 more than twice the width
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Answer:

The length of a rectangle is 3” more than twice the width. The area of the rectangle is 150 in^2. Find the dimensions of the rectangle.

The length of a rectangle is 3” more than twice the width. The area of the rectangle is 150 in^2. Find the dimensions of the rectangle.

Wyzant

MATH QUADRATIC FORMULA

Kyle C. asked • 05/05/16

The length of a rectangle is 3” more than twice the width. The area of the rectangle is 150 in^2. Find the dimensions of the rectangle.

The length of a rectangle is 3” more than twice the width. The area of the rectangle is 150 in^2. Find the dimensions of the rectangle.

ANSWER

ABOUT THIS TUTOR ›

We know that Area = Length x Width

in this case, L = 2W + 3 and A = 150in2

so, 150in2 = W x (2w + 3)

150in2 = 2W2 + 3W

rearranging, 2W2 + 3W - 150in2 = 0

we need to use the quadratic formula to solve this equation

that formula is [-b±(√b2 -4ac)]/2a

a = 2, b = 3, c = -150

inserting those values, we get [-3±(√32 -4•2•-150)]/2•2

which becomes (-3±√1209)/4

we get (-3 ± 34.771)/4

we can discard the negative value, because no length can be negative

so, W ≅ 7.942 inches

then L = 2W + 3 ≅ 18.886 inches

Proof: 7.942in x 18.886in ≅ 149.99

HOPE IT'S HELPFUL

THANK YOU

4 0
2 years ago
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