Examples
The sum of
two numbers is 70. One number is eight more than the other. What are the two
numbers?
Problems such as this are similar to the above in that we are looking for two or more numbers and we have a little information about how far apart the numbers are. In the problems above, the numbers differed by one. Here, two numbers differ by eight.
Let x = first number. (The term ‘‘first’’ is
used because it is the first number we are looking for; it is not necessarily
the ‘‘first’’ in order.) The other number is eight more than this, so x þ 8
represents the other number. Their sum is 70, so x + (x + 8) = 70:
The numbers
are 31 and x + 8 = 39:
The sum of
two numbers is 63. One of the numbers is twice the other.
Let x = first number.
2x = other number
Their sum is
63, so x + 2x = 63.
The numbers
are 21 and 2x = 2(21) = 42.
Practice
1. The
sum of two numbers is 85. One number is 15 more than the other. What are the
two numbers?
2. The
sum of two numbers is 48. One number is three times the other. What are the
numbers?
Solutions
“Sumber Informasi”
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