One number is 4 more than another, and their sum is 60. What is the smaller number?

unknown values: x

equation: y = 4 + x

equation: x + y = 60

answer: 28

The sum of three consecutive odd integers is equal to the sum of two times the largest integer and seventy-seven. Find the numbers.

unknown values: 2*k-1,2*k+1,2*k+3

equation: (2*k-1)+(2*k+1)+(2*k+3)=2*(2*k+3)+77

answer: 79; 81; 83

Find three consecutive odd numbers whose sum is 5 more than twice the next consecutive number.

unknown values: 2*k-1,2*k+1,2*k+3

equation: (2*k-1)+(2*k+1)+(2*k+3)=2*(2*k+5)+5

answer: 11; 13; 15

Find three consecutive even integers whose sum is -624.

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

equation: (2*k-2)+2*k+(2*k+2)=-624

answer: -210; -208; -206

Eighteen more than the square of an integer is 43. What is the integer?

unknown values: n

equation: n^2 + 18 = 43

answer: 5 or -5

the sum of three numbers is 20. the second number is 4 times the first, and the sum of the first and third is 8

unknown values: x,y,z

equation: x+y+z=20

equation: y=4*x

equation: x+z=8

answer: 3; 12; 5

The squares of two consecutive integers differ by 95. What are These integers ?

unknown values: x,x+1

equation: (x+1)*(x+1)-x*x=95

answer: 47; 48 | -48; -47 | 47; 48 or -48; -47

There are two numbers. the second number is 3 more than the first. the product of the two numbers is 9 more than their sum. What are the two numbers?

unknown values: x,y

equation: y = 3 + x

equation: xy = 9 + (x+y)

answer: 3; 6 or -4; -1

There are two numbers with the following properties.1. the second number is 3 more than the first number.2. The product of the two numbers is 9 more than their sum.Determine the two numbers.

unknown values: x, y

equation: y = 3 + x

equation: xy = x + y + 9

answer: 3; 6 or -4; -1

find three consecutive odd integers such that the product of the second and third is 55 less than 30 times the first

unknown values: (2*k+1),(2*k+3),(2*k+5)

equation: (2*k+3)*(2*k+5)=30*(2*k+1)-55

answer: 21;23;25 or 3;5;7