A few days ago
brandilea225

translating word problems into linear equations.?

1)the sum of two consecutive odd integers is 28. find the integers.

2)the sum of the page numbers on two facing pages ina book is 941. what are the page numbers?

3)three times the largest of three consecutive integers is 16 more than the sum of the other two integers. find the integers.

4)the perimeter of a triangle is 54m. the lengths of the sides are represented by three consecutive even integers. find the lengths of the three sides.

5)a board is 86cm in length and must be cut so that one piece is 20 cm longer then the other piece. find the length of each piece.

6)two angles are supplementary. one angle is 6 degres more than four times the other. find the mearsure of the two angles.

i really appreciate the help. all i need is to get them translated i can solve the problems. thanks

Top 2 Answers
A few days ago
John V

Favorite Answer

1) first odd integer is 2n + 1, next is 2n + 3. The sum is 28

2) first page is x, next is x+1, and the sum is 941

3) integers are x, x+1, x+2; and 3(x+2) = 16 + x + (x +1)

4) lengths are 2n, 2n+2, 2n +4; the sum is 54

5) x is shorter piece, x + 20 the longer. Their sum is 86

6) x = smaller angle, and the other is 6 + 4x. Their sum is 180 degrees.

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A few days ago
Vegan
1. x + (x+2) = 28

2. x + (x+1) = 941

3. 3x = 16 + (x-1) + (x-2)

4. x + (x+2) + (x+4) = 54m

5. x + (x+20) = 86cm

6. x + (6+4x) = 180

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