find five consecutive odd integers such that the sum of the first and fifth number is one less than three times the fourth number
unknown values: 2*k-1,2*k+1,2*k+3,2*k+5,2*k+7
equation: (2*k-1+2*k+7)=3*(2*k+5)-1
answer: -9;-7;-5;-3;-1
the second of three numbers is 8 more than the first, and the third number is 3 less than 3 times the first. if the third number is 15 more than the second, find the three numbers.
unknown values: x,y,z
equation: y = 8 + x
equation: z = 3*x - 3
equation: z = 15 + y
answer: 13; 21; 36
The sum of the number and its square is twelve times the next higher number. Find the no.
unknown values: x
equation: (x+x^2)=12*(x+1)
answer: 12 or -1
what two-digit number is twice the product of its digits?
unknown values: 10*x+y
equation: 10*x+y=2*(x*y)
equation: x>0
equation: x
<10 equation: y>=0 equation: y<10 answer: 36 What two consecutive integers have cubes that differ by 217? unknown values: x,x+1 equation: (x+1)^3-x^3=217 answer: 8;9 or -9;-8 Find three consecutive odd integers of which one half of the sum of the first and second equals the square of the difference of the third and the first. unknown values: 2*k-1,2*k+1,2*k+3 equation: 0.5*(2*k-1+2*k+1)=(2*k+3-(2*k-1))^2 answer: 15;17;19 Which two numbers have a product of 676 and a quotient of 4 unknown values: x,y equation: x*y=676 equation: x/y=4 answer: 52; 13 or -52; -13 the product of two numbers is 32 and their quotient is 8. find the numbers. unknown values: x,y equation: x*y = 32 equation: x/y = 8 answer: {16; 2} or {-16; -2} When fifteen is subtracted from four times the sum of seven and twice some number, the result is 45 unknown values: x equation: 4*(7+2*x)-15=45 answer: 4 find 3 consecutive integers such that the square of the third exceeds the sum of the second and the square of the first by 42 unknown values: x,x+1,x+2 equation: (x+2)^2-((x+1)+x^2)=42 answer: 13;14;15