The average of 3 numbers is 18. If the first number is increased by 5, the second is doubled and the third is tripled, the average becomes 34. If the first number is decreased by 5, the second number is tripled and the third number is doubled, the average becomes 48. Which is the largest number?

unknown values: y

equation: (x + y + z) / 3 = 18

equation: ((x + 5) + 2*y + 3*z) / 3 = 34

equation: ((x - 5) + 3*y + 2*z) / 3 = 48

answer: 49

The ones digit of a number that is less than 100 is 4 greater than the tens digit. The sum of the number and the product of the digits is 58. Find the number, please.

unknown values: m

equation: m = 10*x + y

equation: y = x + 4

equation: m + x * y = 58

answer: 37

What is the sum of 6 �� 103 and 3 ��102?

unknown values: x

equation: x = 6 * 103 + 3 * 102

answer: 924

the product of two-thirds and a number is 4 more than the number. What is the number?

unknown values: x

equation: 2/3 * x = x + 4

answer: -12

find a rational number such that the sum of the number and its reciprocal is 2+1/6?

unknown values: x

equation: x + 1/x = 2+1/6

answer: 0.667 or 1.5 | 2/3 or 3/2

The mean of six numbers is 5. A seventh number is added and the new mean is 6. Find the seventh number?

unknown values: x

equation: m = 6 * 5

equation: m + x = (6+1) * 6

answer: 12

the sum of 3 numbers equal 64. The second number is 3 more than the first. The third number is 11 less than twice the first. Find the numbers.

unknown values: x, y, z

equation: x + y + z = 64

equation: y = x + 3

equation: z = 2*x -11

answer: 18; 21; 25

The sum of 3 consecutive odd integers is 40 more than the smallest. Find the integers?

unknown values: x, y, z

equation: x + 2 = y

equation: y + 2 = z

equation: x + y + z = 40 + x

answer: 17; 19; 21

the eighth power of a number divided by the fifth power of that number is 27. what is the number?

unknown values: x

equation: x^8 / x^5 = 27

answer: 3

The tens digit of a certain two-digit number is 1 more than 3 times the units digit. The original number is 9 less than 3 times the number formed by interchanging the digits. Find the original number.

unknown values: n

equation: 10*x + y = n

equation: x = 3*y + 1

equation: n = 3 * (10*y + x) - 9

answer: 72