Answered

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1.Five times an odd integer plus three times the next odd integer equal 62.Find the first odd integer.
2.Carol is five times as old as her brother.She will be three times as old as her brother in two years.How old is Carol now.




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Sagot :

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
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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