Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21. Find the numbers.

unknown values: x,y

equation: 3*x=4*y

equation: x+y=21

answer: {12; 9}

The sum of two numbers is 22. Five times one number is equal to 6 times the second number. Find the numbers.

unknown values: x,y

equation: x+y=22

equation: 5*x=6*y

answer: {12;10}

Find three consecutive integers such that the sum of the twice the first, six times the second and three times the third is 133.

unknown values: x-1,x,x+1

equation: 2*(x-1)+6*x+3*(x+1)=133

answer: 11; 12; 13

5 times the sum of three consecutive integers is 150. What are the integers?

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

equation: 5*((k-1)+(k)+(k+1))=150

answer: 9; 10; 11

Three times the sum of three consecutive integers is 72. What are the integers?

unknown values: x-1,x,x+1

equation: 3*((x-1)+x+(x+1))=72

answer: 7; 8; 9

Three consecutive odd counting numbers have the property that the sum of the largest and twice the smallest is 91. What is the middle number?

unknown values: 2*k+1

equation: (2*k+3)+2*(2*k-1)=91

answer: 31

The larger of two numbers is 8 more than four times the smaller. If the larger is increased by four times the smaller, the result is 40. Find the numbers.

unknown values: x,y

equation: y=4*x+8

equation: y+4*x=40

answer: {4; 24}

If 3 is subtracted from four times a number, the result is 10 less than five times the number. Find the number.

unknown values: x

equation: 4*x-3=5*x-10

answer: 7

which value is a solution to 60+2x=12x+10?

unknown values: x

equation: 60+2*x=12*x+10

answer: 5

Phil found that the sum of twice a number and -21 is 129 greater than the opposite of the number, What is the number?

unknown values: n

equation: (2*n + (-21)) = 129 + (-1 * n)

answer: 50