the sum of 2 numbers is 15 less than twice the first number. their difference is 5 less than twice the second number. find each of the numbers

unknown values: m,n

equation: m+n = 2*m - 15

equation: m-n = 2*n - 5

answer: 25; 10

eight less than half a number is seven more than two thirds of the number. find the number

unknown values: x

equation: x/2-8=2/3*x+7

answer: -90

the sum of the digits of a two digit number is 12. if the digits are reversed, the number is 15 more than twice the original number. What is the original number?

unknown values: n

equation: n = 10*x + y

equation: x+y=12

equation: 10*y+x=2*(10*x+y)+15

answer: 39

The larger of two numbers is 2 more than twice the smaller. Ten times the smaller number is 2 less than 4 times the larger number. Find the 2 numbers.

unknown values: x,y

equation: x = 2*y+2

equation: 10*y = 4*x-2

answer: {3; 8}

One fifth of 12 more than a certain number equals one-fourth of 2 more than the number. Find the number

unknown values: x

equation: (1/5)(x+12) = (1/4)(x+2)

answer: 38

Find three consecutive even integers such that the sum of the first and third exceeds one-half the second by 15.

unknown values: 2*x,2*x+2,2*x+4

equation: 2*x + (2*x+4) = (1/2)(2*x+2) + 15

answer: 8;10;12

A man wanted to get into his work building, but he had forgotten his code. However, he did remember five clues. These are what those clues were:The fifth number plus the third number equals fourteen.The fourth number is one more than the second number.The first number is one less than twice the second number.The second number plus the third number equals ten.The sum of all five numbers is 30.What were the five numbers and in what order?

unknown values: a,b,c,d,f

equation: f+c=14

equation: d=b+1

equation: a=2*b-1

equation: b+c=10

equation: a+b+c+d+f=30

answer: 7;4;6;5;8

The sum of the digits of a two-digit number is 8. If 16 is added to the original number, the result is 3 times the original number with its digits reversed. Find the original number.

unknown values: n

equation: n = 10*x + y

equation: x+y=8

equation: n+16=3*(10*y+x)

answer: 62

find three consecutive even integers such that four times the second is eight less than the third.

unknown values: 2*k,2*k+2,2*k+4

equation: 4*(2*k+2)=2*k+4-8

answer: -4;-2;0

20% of the number is 3. Find the number?

unknown values: x

equation: 0.2*x = 3

answer: 15