One number is three times the other number and their product is 108. W

1.	One number is three times the other number and their product is 108. What is the larger number?
Answer» ong>Answer: Let the number be x. "Three times a number increased by 10" is mathematically translated as 3x + 10 "is equal" is mathematically translated as = "Twenty less than six times the number" is mathematically translated as 6x - 20 The whole sentence "Three times a number increased by TEN is equal to twenty less than six times the number" is translated as 3x + 10 = 6x - 20 We now solve the above linear equation to find the number x 3x - 6x = - 20 - 10 - 3x = - 30 x = 10 CHECK answer Three times a number increased by ten : 3 × 10 + 10 = 40 Twenty less than six times the number : 6 × 10 - 20 = 40 Step-by-step explanation:

One number is three times the other number and their product is 108. What is the larger number?

Answer»

ong>Answer:

Let the number be x. "Three times a number increased by 10" is mathematically translated as

3x + 10

"is equal" is mathematically translated as

"Twenty less than six times the number" is mathematically translated as

6x - 20

The whole sentence "Three times a number increased by TEN is equal to twenty less than six times the number" is translated as

3x + 10 = 6x - 20

We now solve the above linear equation to find the number x

3x - 6x = - 20 - 10

- 3x = - 30

x = 10

CHECK answer

Three times a number increased by ten : 3 × 10 + 10 = 40

Twenty less than six times the number : 6 × 10 - 20 = 40

Step-by-step explanation: