一个美术生
The sum of three consecutive even integers is 30 more than the largest. What are the integers?
unknown values: 2*k-2,2*k,2*k+2
equation: (2*k-2)+2*k+(2*k+2)=(2*k+2)+30
answer: 14; 16; 18
Find three consecutive odd integers such that the sum of the first integer twice the second integer and three times the third is 70?
unknown values: 2*k-1,2*k+1,2*k+3
equation: (2*k-1)+2*(2*k+1)+3*(2*k+3)=70
answer: 9; 11; 13
the sum of two numbers is 120. if the larger number is 4 times the smaller number, find the two numbers?
unknown values: x,y
equation: x + y = 120
equation: x = 4*y
answer: {96; 24}
a number is twice another number. if their sum is 48 find the numbers.
unknown values: x,y
equation: x = 2*y
equation: x + y = 48
answer: 32; 16
The sum of two numbers is 42. One number is 2 times as large as the other. What are the numbers?
unknown values: x,y
equation: x=2*y
equation: x+y=42
answer: {28; 14}
Three times the first of three consecutive odd integers is 3 more than twice the third. Find the third integer ?
unknown values: 2*k+3
equation: 3*(2*k-1)=2*(2*k+3)+3
Three consecutive integers are such that their sum has the same value as twice the second integer subtracted from 20. What are the three integers?
unknown values: x-1,x,x+1
equation: (x-1)+x+(x+1)=20-2*x
answer: 3; 4; 5
The average of four consecutive even integers is 17. Find the integers.
unknown values: 2*k-2,2*k,2*k+2,2*k+4
equation: ((2*k-2)+2*k+(2*k+2)+(2*k+4))/4=17
answer: 14; 16; 18; 20
the sum of an even integer and twice the next greater even integer is eight more than four times the greater integer. find the lesser integer.
unknown values: 2*k
equation: 2*k+2*(2*k+2)=4*(2*k+2)+8
answer: -12
Find three consecutive integers such that the sum of twice the smallest and 3 times the largest is 126.
unknown values: x-1,x,x+1
equation: 2*(x-1)+3*(x+1)=126
answer: 24; 25; 26