Q: The ages of two brothers are in the ratio two to three, but in eight years, the ratio of their ages will be three to four. What is the age of the younger brother?
16
18
24

A: The answer is C) 24
let x = age of younger bro
ley y = age of older bro
x/y = 2/3 - - > x = 2y/3 eq.1
x+8 / y+8 = 3/4 eq.2
sub eq.1 into eq.2:
(2y/3) + 8 / y+8 = 3/4
(2y+24)/3 / y+8 = 3/4
2y + 24 / 3(y+8) = 3/4
2y+24 / 3y+24 = 3/4
4(2y+24) = [ 3(3y+24)
8y+96 = 9y+72
24=y
x=2y/3=2*24/3=16 ]

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Asked 7/17/2012 9:57:50 AM

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Find the midpoint of the line segment whose endpoints are (-2, 5) and (4, -9).
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Expert Answered

Updated 7/12/2014 11:01:58 AM

4 Answers/Comments

The midpoint of the line segment whose endpoints are (-2, 5) and (4, -9) is (1, -2)

Added 7/12/2014 10:58:21 AM

This answer has been confirmed as correct, not copied, and helpful.

Confirmed by yumdrea [7/12/2014 11:00:09 AM]

6x^2 - 24 = 0

6x^2 = 24

x^2 = 24/6 = 4

x = 2 or -2

6x^2 = 24

x^2 = 24/6 = 4

x = 2 or -2

Added 7/12/2014 10:59:09 AM

This answer has been confirmed as correct, not copied, and helpful.

Confirmed by yumdrea [7/12/2014 11:00:10 AM]

(2x - 1)(x + 5) = 0

2x^2 + 10x - x - 5 = 0

2x^2 + 9x - 5 = 0 which is the general form of the equation.

The value of "b" is 9.

2x^2 + 10x - x - 5 = 0

2x^2 + 9x - 5 = 0 which is the general form of the equation.

The value of "b" is 9.

Added 7/12/2014 11:00:53 AM

This answer has been confirmed as correct, not copied, and helpful.

Confirmed by yumdrea [7/12/2014 11:01:40 AM]

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