Two unknown numbers

One number is 2 less than a second number. Twice the second number is 14 less than 5 times the first. Find the two numbers.

Correct answer:

a =  6
b =  8

Step-by-step explanation:


a = b-2
2b = 5a - 14

a = b-2
2•b = 5•a - 14

a-b = -2
5a-2b = 14

a = 6
b = 8

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar




Tips to related online calculators
Do you have a system of equations and looking for calculator system of linear equations?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • The sum 8
    numbers2 The sum of two numbers is 21. If three times the smaller numbers is two less than twice the larger number, find the two numbers.
  • Three numbers
    numbers Find three numbers so that the second number is 4 times greater than the first and the third is lower by 5 than the second number. Their sum is 67.
  • Four integers
    tiles2 Fnd four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two.
  • Unknown number 7
    percents2 16% of the unknown number is by 21 less than unknown number itself. Determine the natural unknown number.
  • Two numbers
    maxwells-equation We have two numbers. Their sum is 140. One-fifth of the first number is equal to half the second number. Determine those unknown numbers.
  • Unknown mixed number
    zlomky Find the number that is smaller than 5 5/12 by as much as 2 2/13 is smaller than 6 1/6
  • Unknown number 10
    num Number first increased by 30%, then by 1/5. What percentage we've increased the original number?
  • The larger
    59_number The larger of two numbers is nine more than four times the smaller number. The sum of the two numbers is fifty-nine. Find the two numbers.
  • Scratches
    los The ticket seller sold 1,280 scratch cards in three days. On the second day, he sold 90 tickets less than on the first day, on the third day he sold 1.5 times more tickets than on the second day. How many tickets did he sell on the third day?
  • Unknown number 5
    seven I think of an unknown number. If we enlarge it five times then subtract 3 and the result decreases by 75% we get one greater than the number. What number am I thinking of?
  • Two numbers
    fractal The sum of the two numbers is 1. Find both numbers if you know that half of the first is equal to one seventh of the second number.
  • Land areas
    land Two land areas are 244 m2. The first parcel is 40 m2 less than twice the second one. What has the acreage of each parcel?
  • Three unknown numbers
    eq2_fx The sum of of three numbers is 106. the first number is 10 more then the third. The second number is 2x the third. What are the numbers?
  • Difference of two number
    squares2 The difference between the two numbers is 20. They are positive integers greater than zero. The first number raised to one-half equals the second number. Determine the two numbers.
  • QuizQ2
    debil_z_tv The square of the first number is equal to three-fifths of the second number. Determine both numbers if you know that the second number is 5 times greater than the first, and neither of numbers is not equal to zero.
  • Ravens
    havrany On two trees sitting 17 ravens. If 3 ravens flew from first to second tree and 5 ravens took off from second tree then the first tree has 2 times more ravens than second tree. How many ravens was originally on every tree?
  • Unknown number x
    percents2 5% from an unknown number equals the number 26. What is the unknown number?