if the sum of the consecutive integers from -22 through x is 72, what is the value of x

if the sum of the consecutive integers from -22 through x is 72, what is the value of x

unknown values: x

equation: (-22+x)*(x+22+1)/2=72

equation: x>-22

answer: 25

11 less than 4 times some number is the same as the quotient of the number and 3. Find the number

unknown values: x

equation: 4*x-11=x/3

answer: 3

I have two secret numbers. Each has two digits. The secret numbers have the same digits, only reversed. The difference between the two numbers is 54, and the sum of the digits in each number is 10. what are my two secret numbers?

unknown values: 10*x+y,10*y+x

equation: (10*x+y)-(10*y+x)=54

equation: x+y=10

answer: {82;28}

The sum of the digits of a two digit number is 12. The number formed by interchanging the digits is 54 more than the original number. Find the original number and its reversal.

unknown values: 10*x + y, 10*y + x

equation: x + y = 12

equation: 10*y + x = 54 + 10*x + y

answer: 39; 93

the sum of two consecutive numbers is 9. If two times the 1st number less than 3 times the 2nd number is 7, what are the two numbers?

unknown values: x,x+1

equation: x+(x+1)=9

equation: 2*x+7=3(x+1)

answer: 4;5

twice the result of subtracting an unknown number from five is eight. find the number

unknown values: x

equation: 2*(5-x)=8

answer: 1

The difference between two numbers is 10. If the numbers are doubled, what is the difference between them?

unknown values: 2*x-2*y

equation: x-y=10

answer: 20

Three times the square of the number when added to seven times the number result in 26. What is the number ?

unknown values: n

equation: 3*n^2 + 7*n = 26

answer: 2 or -13/3 | 2 or -4.333

When the number x is increased by x%, it becomes 24. Find x.

unknown values: x

equation: x (1+0.01*x) = 24

answer: 20 or -120

If a number is multiplied by 5 more than twice that number, the result is 12. Find the number?

unknown values: x

equation: x * (2*x + 5) = 12

answer: 3/2 or -4 | 1.5 or -4