- If the sum of three consecutive numbers is 39, find the numbers.
- If the sum of two consecutive odd numbers is 48, find the numbers.
- Find two numbers whose sum is 30 and whose difference is 6.
SOLUTIONS:
- Letx¼the number; then
3 xþ 3 ¼ 30
3 xþ 3 3 ¼ 30 3
3 x¼ 27
31 x
31
¼
27
3
x¼ 9
- Let x¼length of first piece; xþ 7 ¼length of second piece;
xþ 14 ¼length of third piece; then
xþxþ 7 þxþ 14 ¼ 51
3 xþ 21 ¼ 51
3 xþ 21 21 ¼ 51 21
3 x¼ 30
31 x
31
¼
30
3
x¼10 inches (first piece)
xþ 7 ¼ 10 þ 7 ¼17 inches (second piece)
xþ 14 ¼ 10 þ 14 ¼24 inches (third piece)
94 LESSON 9 Solving Number Problems