Two integers

Two integers, a and b, have a product of 36. What is the least possible sum of a and b?

Result

s1 =  -37
s2 =  12

Solution:

ab=36 s1=(36)+(1)=37ab = 36 \ \\ s_{ 1 } = (-36) + (-1) = -37
ab=36  a1=1,b1=36,s1=37 a2=2,b2=18,s2=20 a3=3,b3=12,s3=15 a4=4,b4=9,s4=13 a5=6,b5=6,s5=12 a6=9,b6=4,s6=13 a7=12,b7=3,s7=15 a8=18,b8=2,s8=20 a9=36,b9=1,s9=37  a=36=6 b=36/a=36/6=6 s2=a+b=6+6=12ab = 36 \ \\ \ \\ a_{ 1 } = 1, b_{ 1 } = 36, s_{ 1 } = 37 \ \\ a_{ 2 } = 2, b_{ 2 } = 18, s_{ 2 } = 20 \ \\ a_{ 3 } = 3, b_{ 3 } = 12, s_{ 3 } = 15 \ \\ a_{ 4 } = 4, b_{ 4 } = 9, s_{ 4 } = 13 \ \\ a_{ 5 } = 6, b_{ 5 } = 6, s_{ 5 } = 12 \ \\ a_{ 6 } = 9, b_{ 6 } = 4, s_{ 6 } = 13 \ \\ a_{ 7 } = 12, b_{ 7 } = 3, s_{ 7 } = 15 \ \\ a_{ 8 } = 18, b_{ 8 } = 2, s_{ 8 } = 20 \ \\ a_{ 9 } = 36, b_{ 9 } = 1, s_{ 9 } = 37 \ \\ \ \\ a = \sqrt{ 36 } = 6 \ \\ b = 36/a = 36/6 = 6 \ \\ s_{ 2 } = a + b = 6 + 6 = 12



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Following knowledge from mathematics are needed to solve this word math problem:

Do you solve Diofant problems and looking for a calculator of Diofant integer equations?

Next similar math problems:

  1. The difference
    eq2 The difference of two numbers is 1375. If their exact quotient is 12. Find the two numbers
  2. In the orchard
    stromy_7 In the orchard, they planted 25 apple trees, 20 pears, 15 plums and 40 marbles. A strong late frost, however, destroyed a fifth of all new trees. Unfortunately, it was all the trees of one kind of fruit. What is the probability that the plums have died out
  3. Tunnels
    Mysky Mice had built an underground house consisting of chambers and tunnels: • each tunnel leading from the chamber to the chamber (none is blind) • from each chamber lead just three tunnels into three distinct chambers, • from each chamber mice can get to any
  4. 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.
  5. Three brothers
    family_13 The three brothers have a total of 42 years. Jan is five years younger than Peter and Peter is 2 years younger than Michael. How many years has each of them?
  6. Apples and pears
    banan Apples cost 50 cents piece, pears 60 cents piece, bananas cheaper than pears. Grandma bought 5 pieces of fruit, there was only one banana and paid 2 euros 75 cents. How many apples and how many pears?
  7. Test points
    test_2 If you earned 80% of the possible 40 points, how many points did you miss to get 100%?
  8. Mom and daughter
    family_1 Mother is 39 years old. Her daughter is 15 years. For many years will mother be four times older than the daughter?
  9. Three friends
    oriental The three friends spent 600 KC in a teahouse. Thomas paid twice as much as Paul. Paul a half less than Zdeněk. How many each paid?
  10. Three days
    skolske-zosity_1 During the three days sold in stationery 1490 workbooks. The first day sold about workbooks more than third day. The second day 190 workbooks sold less than third day. How many workbooks sold during each day?
  11. Walnuts
    orechy_2 x walnuts were in the mission. Dano took 1/4 of nuts Michael took 1/8 from the rest and John took 34 nuts. It stayed here 29 nuts. Determine the original number of nuts.
  12. Equations - simple
    linearna_1 Solve system of linear equations: x-2y=6 3x+2y=4
  13. Mushrooms
    huby_2 Eva and Jane collected 114 mushrooms together. Eve found twice as much as Jane. How many mushrooms found each of them?
  14. Equations
    p1110617 Solve following system of equations: 6(x+7)+4(y-5)=12 2(x+y)-3(-2x+4y)=-44
  15. Trees
    jablone Along the road were planted 250 trees of two types. Cherry for 60 CZK apiece and apple 50 CZK apiece. The entire plantation cost 12,800 CZK. How many was cherries and apples?
  16. The dormitory
    hotel_7 The dormitory accommodates 150 pupils in 42 rooms, some of which are triple and some are quadruple. Determine how many rooms are triple and how many quadruples.
  17. Persons
    ball1_6 Persons surveyed:100 with result: Volleyball=15% Baseball=9% Sepak Takraw=8% Pingpong=8% Basketball=60% Find the average how many like Basketball and Volleyball. Please show your solution.