Find three consecutive odd integers such that the sum of the least integer and the greatest integer is 13 more than the middle integer.
unknown values: m-2, m, m+2
equation: m-2+m+2=m+13
answer: 11; 13; 15
Nine more than four times a number is the same as one less than twice the number. Find the number.
unknown values: x
equation: 9 + 4*x = 2*x - 1
answer: -5
which 2 consecutive integers have a sum of -105
unknown values: x,x+1
equation: x+(x+1)=-105
answer: -53; -52
The sum of two consecutive integers is -21. Find the two integers
unknown values: x,x+1
equation: x+x+1=-21
answer: -11;-10
the sum of two consecutive integers is -71. what are those integers
unknown values: x,x+1
equation: x+(x+1)=-71
answer: -36;-35
The sum of 3 numbers is 137. The second number is 4 more than 2 times the first number. The third is 5 less than three times the first number. Find the 3 numbers
unknown values: x,y,z
equation: x+y+z=137
equation: y = 4 + 2*x
equation: z = 3*x - 5
answer: 23; 50; 64
Twice the sum of a number and 8 is 40. Find the number
unknown values: x
equation: 2*(x+8)=40
answer: 12
The sum of three integers is 61. The sum of the first and second exceeds the third by 71. The third integer is 36 less than the first. Find the three integers.
unknown values: x,y,z
equation: x+y+z=61
equation: x+y=z+71
equation: z=x-36
answer: 31; 35; -5
Eight times the sum of three consecutive even integers is 108 more than 21 times the smallest of three integers
unknown values: 2*k-2,2*k,2*k+2
equation: 8*((2*k-2)+2*k+(2*k+2))=21*(2*k-2)+108
answer: 20; 22; 24
One number is twice another number. When the larger is diminished by 10, the result is 2 greater than the smaller. Find the numbers.
unknown values: x, y
equation: x = 2*y
equation: x - 10 = y + 2
answer: 24; 12