One number is 16 more than another. If the smaller number is subtracted from 2/3 of the larger, the result is 1/4 of the sum of the two numbers. Find the numbers.

unknown values: x,y

equation: y=16+x

equation: (2/3)*y-x=(1/4)*(x+y)

answer: 24; 8

find two consecutive odd integers such that three times the smaller one exceeds two times the larger one by 7

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

equation: 3(2*k-1)=7+2*(2*k+1)

answer: 11; 13

The sum of two numbers is fourteen. The sum of the squares of the two numbers is one hundred thirty. Find the two numbers.

unknown values: x,y

equation: x + y = 14

equation: x^2 + y^2 = 130

answer: {11; 3}

Find three consecutive even integers such that twice the sum of the second and the third exceeds three times the first by 34.

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

equation: 2(2*x+2+2*x+4)-34=3*2*x

answer: 22; 24; 26

The sum of two integers is 10. Three times the larger integer is three less than eight times the smaller integer. Find the integers.

unknown values: x,y

equation: x+y=10

equation: 3*y+3=8*x

answer: {3; 7}

The sum of two integers is twenty-nine. Eight times the smaller integer is eleven more than five times the larger integer. Find the integers.

unknown values: x,y

equation: x+y=29

equation: 8*x=5*y+11

answer: {12; 17}

The sum of two numbers is 125. Five times one number minus three times the other is 41. Find the numbers.

unknown values: x,y

equation: x + y = 125

equation: 5*x - 3*y = 41

answer: {52; 73}

find two consecutive multiples of 7 whose sum is 84

unknown values: n,n+7

equation: n+(n+7) = 84

answer: ans_no_result

the sum of two consecutive integers is 185. Find the 2 integers.

unknown values: x,x+1

equation: x+(x+1)=185

answer: 92; 93

Sixty more than a number divided by three is equal to eighty-four more than the same number divided by fifteen. What is the number?

unknown values: x

equation: x/3+60=x/15+84

answer: 90