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

Find three consecutive even integers such that the product of five and the third integer is four more than two times the sum of the first two numbers.

unknown values: 2*k-2,2*k,2*k+2

equation: 5*(2*k+2)=2*((2*k-2)+2*k)+4

answer: -12; -10; -8

The sum of three consecutive integers is 47 less than the least of the integers. Find the integers.

unknown values: x-1,x,x+1

equation: (x-1)+x+(x+1)=(x-1)-47

answer: -25; -24; -23

find 2 consecutive even integers such that eleven more than half the second integer results in the first integer.

unknown values: 2*k,2*k+2

equation: (2*k+2)*1/2+11=2*k

answer: 24; 26

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

if the product of two consecutive odd integers is decreased by 3, the result is 12. find the integers

unknown values: 2*k-1,2*k+1

equation: (2*k-1)(2*k+1)-3=12

answer: 3; 5 or -5; -3

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 product of four greater than an certain negative integer and sixteen less than four times the integers is equal to 36. Determine the integer ?

unknown values: x

equation: (4+x)(4*x-16)=36

equation: x

<0 answer: -5 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}