SOLUTION: One-half of the sum of three consecutive multiples of 10 is 75. Find the three multiples of 10.

Question 51253: One-half of the sum of three consecutive multiples of 10 is 75. Find the three multiples of 10.
Answer by rchill(405) (Show Source): You can put this solution on YOUR website!
Let x represent the first multiple of 10 (i.e., 10x). The next two consecutive multiples of 10 become 10(x+1) and 10(x+2). So our equation becomes . Now we just expand and simplify to solve. We first get . Combining like terms produces , which simplifies to . Subtract 15 from both sides: , which simplifies to . Now divide both sidess by 15: , which simplifies to . That means the first number is 4*10, or 40; the next number is 10(4+1), or 50, and the next number is 60. Adding 40+50+60 produces 150; dividing 150 by 2 produces 75. That completes our check of our answer, which means our answer of 40, 50, and 60 is correct.
RELATED QUESTIONS
One half of the sum of three consecutive multiples of 10 is 90. What are the multiples of (answered by JBarnum)

The sum of three consecutive multiples of 6 is 126.Find these three... (answered by Alan3354)

The sum of three consecutive multiples of 9 is 999.Find these... (answered by stanbon)

the sum of three consecutive multiples of 7 is 777.find these... (answered by mouk)

The sum of three consecutive multiples of 11 is363 find the smallest consecutive... (answered by Fombitz)

Twice the sum of three consecutive multiples of 15 is 270. What are the three multiples... (answered by dabanfield)

the sum of three consecutive multiples of 5 is 90. find the numbers. (answered by Charles1947)

The sum of three consecutive multiples of 3 is 342. Find these... (answered by Alan3354)

The sum of 3 consecutive multiples of is 333. Find the multiples (answered by stanbon)