Grant is thinking of two numbers. He says that one of the numbers is six times the other number decreased by 2 and the sum of the numbers is 25. What are the numbers?
unknown values: x,y
equation: x = 6*y - 2
equation: x + y = 25
answer: {148/7; 27/7} | {21.143; 3.857}
The sum of two numbers is 240. The larger number is 6 less than twice the smaller number. Find the numbers.
unknown values: a,b
equation: a+b=240
equation: a=2*b-6
answer: {158; 82}
The sum of two numbers is 12. When one number is subtracted from three times the other, the result is 5. Find the numbers.
unknown values: x,y
equation: x + y = 12
equation: 3*y - x = 5
answer: {31/4; 17/4} | {7.75; 4.25}
Separate the number 57 into two parts so that the first number is three less than twice the second number.
unknown values: x,y
equation: x+y=57
equation: x = 2*y - 3
answer: 37; 20
The sum of two numbers is 62. Two times the lesser number is 4 more than the greater number. What are the numbers?
unknown values: x, y
equation: x + y = 62
equation: 2*y = 4 + x
answer: {40; 22}
twice the greater of two consecutive odd integers is thirteen less than three times the lesser number?
unknown values: 2*k-1,2*k+1
equation: 2*(2*k+1)=3*(2*k-1)-13
answer: 17; 19
twice the greater of two consecutive odd integers is 13 less than three times the lesser number
unknown values: 2*k-1,2*k+1
equation: 2*(2*k+1)=3*(2*k-1)-13
answer: 17; 19
Find two consecutive odd integers such that 5 times the first integer is 12 more than 3 times the second.
unknown values: 2*k-1,2*k+1
equation: 5*(2*k-1)=3*(2*k+1)+12
answer: 9; 11
Twice the greater of two consecutive odd integers is 13 less than three times the lesser. Find the integers.
unknown values: 2*k-1,2*k+1
equation: 2*(2*k+1)=3*(2*k-1)-13
answer: 17; 19
Find two consecutive odd integers such that six times the first equals ten more than four times the second.
unknown values: 2*k-1,2*k+1
equation: 6*(2*k-1)=4*(2*k+1)+10
answer: 9; 11