Find two consecutive even integers such that the sum of twice the smaller integer plus the larger is 344.
unknown values: 2*k, 2*k+2
equation: 2*2*k+2*k+2=344
answer: 114; 116
Find three consecutive odd integers such that the sum of the first and twice the second is 6 more than the third
unknown values: 2*k-1,2*k+1,2*k+3
equation: (2*k-1)+2*(2*k+1)=(2*k+3)+6
answer: 3; 5; 7
find three positive consecutive odd integers such that the largest decreased by three times the second is 47 less than the smallest
unknown values: 2*k-1,2*k+1,2*k+3
equation: (2*k+3)-3*(2*k+1)=(2*k-1)-47
answer: 15; 17; 19
The larger of two numbers is four times the smaller. If their difference is eighteen, find the numbers.
unknown values: x,y
equation: y=4*x
equation: y-x=18
answer: {6; 24}
Find three consecutive odd integers such that twice the first, decreased by the second is 35.
unknown values: 2*k-1,2*k+1,2*k+3
equation: 2*(2*k-1)-(2*k+1)=35
answer: 37; 39; 41
one number is three times another number and their sum is 164. find the number?
unknown values: x
equation: x=3*y
equation: x+y=164
answer: 123
The sum of two numbers is 574. One number is six times the other. Find the larger number.
unknown values: x
equation: x + y = 574
equation: x = 6*y
answer: 492
Three times the smallest of three consecutive even integers is two more than twice the largest. Find the integers.
unknown values: 2*k-2,2*k,2*k+2
equation: 3*(2*k-2)=2*(2*k+2)+2
answer: 10; 12; 14
find four consecutive numbers such that the sum of the first three numbers is twelve more than the fourth number
unknown values: x-1,x,x+1,x+2
equation: (x-1)+x+(x+1)=(x+2)+12
answer: 6; 7; 8; 9
The difference between two numbers is 8. Five times the larger number is 4 more than 8 time the other. Find the numbers ?
unknown values: x, x+8
equation: (x+8)*5-8*x=4
answer: {12;20}