Answers

2015-12-07T20:18:32+08:00
1. sol. 5x + 3( x+2) = 62
          5x + 3x +6 = 62
          8x = 62 - 6
          8x = 56   or x= 7
Therfore first odd integer is 5( 7)  = 35

2. Sol. Brother - x
          Carol - 5x
   5x + 2 = 3 ( x+2)
   5x + 2 = 3x + 6
   5x - 3x = 6- 2
      2x = 4  or x = 2
Therefore : Carol is now 10 yrs. old



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  • Brainly User
2015-12-08T16:39:24+08:00
1.) First odd integer: x
    Second odd integer: x + 2

Equation:
5x + 3(x+2) = 62
5x  + 3x + 6 = 62
8x = 62 - 6
8x = 56
8x/8 = 56/8
x = 7

ANSWER: The first odd integer is 7.

The second odd integer is:
x + 2 = (7) + 2 = 9

Check:
5 (7) + 3 (9) = 62
35 + 3(9) = 62
35 + 27 = 62
62 = 62

2) Present ages:
Carol's brother: x
Carol: 5x

Ages in two years:
Carol's brother: x + 2
Carol: 5x + 2

Equation:
5x + 2 = 3(x + 2)
5x + 2 = 3x + 6
5x - 3x = 6 - 2
2x = 4
2x/2 = 4/2
x = 2

Present ages: (Substitute 2 for x)
Carol's brother: x = 2 years old
Carol: 5x = 5(2) = 10 years old

ANSWER:  Carol is now 10 years old.

Ages in 2 years:
Carol's brother: 2 + 2 = 4 years old
Carol: 10 + 2 = 12 years old

In two years, Carol will be three times as old as her brother.
12 = 3 (4)
12 = 12 


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