If the smallest of the three consecutive integer is added to twice the largest, the result is seven less than four times the middle. Find the numbers.

unknown values: x,x+1,x+2

equation: x + 2(x+2) = 4(x+1) - 7

answer: 7;8;9

find the largest two-digit number which is equal to four times the sum of its digits

unknown values: n

equation: n = 10*x + y

equation: n = 4(x+y)

answer: 48

How many 8-digits whole numbers can be written with eight different digits, assuming that the leading digit cannot be zero?

unknown values: n

equation: n = 9*9*8*7*6*5*4*3

answer: 1632960

How many eight-digit telephone numbers are possible if the first digit must be nonzero?

unknown values: n

equation: n = 9*10*10*10*10*10*10*10

answer: 90000000 | 9E7

If the larger of two numbers is divided by 6 and is subtracted from three times the smaller one, the result is 44. If the smaller number is increased by 4, the result is half the larger numbers. Find the numbers.

unknown values: x,y

equation: 3*y-(x/6) = 44

equation: y+4 = (1/2)x

answer: {42;17}

Eight times the sum of a number and -2 is the same as nine times the number. Find the number.

unknown values: x

equation: 8(x-2)=9*x

answer: -16

Find three consecutive odd integers whose sum is three times the third integer

unknown values: 2*k+1,2*k+3,2*k+5

equation: 2*k+1+2*k+3+2*k+5=3*(2*k+5)

answer: ans_no_result

the sum of three consecutive odd integers is the same as five times the greatest of these integers. what are the integers?

unknown values: 2*k+1,2*k+3,2*k+5

equation: (2*k+1)+(2*k+3)+(2*k+5) = 5(2*k+5)

answer: -7; -5; -3

Evaluate 3x + 7 when x = -3.

unknown values: y

equation: x = -3

equation: y=3*x+7

answer: -2

The sum of two numbers is 6 less than twice the first number. Their difference is 10 less than four times the second number. Find each of the numbers

unknown values: x,y

equation: x + y = 2*x - 6

equation: x - y = 4*y - 10

answer: 10;4