if the first and third of three consecutive odd integers are added, the result is 87 less than five times the second integer. find the third integer

if the first and third of three consecutive odd integers are added, the result is 87 less than five times the second integer. find the third integer

unknown values: 2*k+3

equation: (2*k-1)+(2*k+3)=5*(2*k+1)-87

answer: 31

If the first and third of three consecutive odd integers are added, the result is 81 less than five times the second integer. Find the third integers.

unknown values: 2*k+3

equation: (2*k-1)+(2*k+3)=5*(2*k+1)-81

answer: 29

One number is 1 more than another doubled. If their difference is 10, find the numbers.

unknown values: x,y

equation: x = 1 + 2*y

equation: x - y = 10

answer: 19; 9

the difference between 2 numbers is 34. the larger number is 4 more than 3 times the smaller number. What're the numbers?

unknown values: x,y

equation: x-y=34

equation: x-4=3*y

answer: {49; 15}

The difference between two numbers is 19. The first number is one more than twice the second number. Find the two numbers?

unknown values: x,y

equation: x - y = 19

equation: x = 1 + 2*y

answer: 37; 18

one number is 15 more than another. the sum of twice the larger number and 3 times the smaller number is 180. what's the smaller number ?

unknown values: x

equation: y=x+15

equation: 2*y+3*x=180

answer: 30

A fifth of the larger of two consecutive integer exceeds a seventh of the smaller by 3. Find the integers?

unknown values: x,x+1

equation: (1/5)*(x+1)-(1/7)*x=3

answer: 49; 50

the sum of three numbers is 14. the sum of twice the first number, 5 times the second number, and 6 times the third number is 72. the difference between 5 times the first number and the second number is 6. find the three numbers

unknown values: x,y,z

equation: x+y+z=14

equation: 2*x+5*y+6*z=72

equation: 5*x-y=6

answer: 2; 4; 8

If you begin with an even integer and count by two, you are counting consecutive even integers. Write and solve an equation to find two consecutive even integers whose sum is 50.

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

equation: 2*k+2*k+2=50

answer: 24;26

the sum of two even integers is 194. what are they?

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

equation: 2*k+(2*k+2)=194

answer: 96; 98