If 5 times the first number plus three times the second number equals 47, and 10 times the first number minus 4 times the second number equals 54, what are the numbers?

unknown values: x,y

equation: 5*x + 3*y = 47

equation: 10*x - 4*y = 54

answer: 7; 4

the sum of the two digit number is 7, when you reversed the number it was increased by 27. what is the original number?

unknown values: n

equation: n = 10*a + b

equation: a+b=7

equation: 10*b+a = 27 + n

answer: 25

The sum of the digits of a two digit number is 9. If the digits are reversed, the number is increased by 45. Find the original number.

unknown values: m

equation: m = 10*x + y

equation: x + y = 9

equation: 10*y + x = 45 + m

answer: 27

Find a 2 digit number whose tens digit is 3 less than the units digit. The original number is 5 more than 4 times the sum of the digits

unknown values: n

equation: n = 10*x + y

equation: x = y-3

equation: n=5+4*(x+y)

answer: ans_no_result

If 4 is added to a number and the sum is doubled, the result is 18 less than the number. Find the number?

unknown values: n

equation: 2(n + 4) = n - 18

answer: -26

There is only one positive integer which is exactly twice the sum of its digits. What is the two-digit number?

unknown values: m

equation: m = 10*x + y

equation: m = 2(x + y)

equation: is_digit(x)

equation: is_digit(y)

equation: m >0

answer: 18

Four times the difference of a number and six is equal to twice the number. Find the number.

unknown values: x

equation: 4 *(x - 6) = 2*x

answer: 12

Find two consecutive odd positive integers such that the twice the square of the larger minus the square of the smaller is 41.

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

equation: 2*(2*k+3)^2-(2*k+1)^2=41

answer: 3;5

The sum of a two-digit number and its reverse is 121. The ones digit is seven more than the tens digit. what is the number?

unknown values: n

equation: n = 10*x + y

equation: n+10*y+x=121

equation: y = x+7

answer: 29

The sum of three numbers is 5. The sum of the first and second number is 3, and the first number is one more than three times the third number. How many of the numbers are even numbers?

equation: x + y + z= 5

equation: x + y= 3

equation: x = 3*z + 1

answer: 2