The sum of two numbers is 39. The second number is 6 more than half of the first number. Let a represent the first number and let b represent the second number. What are the two numbers? Use the table to answer the question.
Numbers
а
b
a+b=39
Check
b-za+6
20
19
39
39
22
24
26
17
15
39
39
13
20 and 19
22 and 17
24 and 15

a = First number

a = First numberb = Second number

a = First numberb = Second numberATQ :

a = First numberb = Second numberATQ :a + b = 39

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/2

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/22b + 6 = a

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/22b + 6 = aPutting value of b from (i) equation :

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/22b + 6 = aPutting value of b from (i) equation :2(39 a) + 6 = a

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/22b + 6 = aPutting value of b from (i) equation :2(39 a) + 6 = a78-2a + 6 = a

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/22b + 6 = aPutting value of b from (i) equation :2(39 a) + 6 = a78-2a + 6 = a3a = 84

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/22b + 6 = aPutting value of b from (i) equation :2(39 a) + 6 = a78-2a + 6 = a3a = 84a = 28

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/22b + 6 = aPutting value of b from (i) equation :2(39 a) + 6 = a78-2a + 6 = a3a = 84a = 28Putting value of a in (i) equation :

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/22b + 6 = aPutting value of b from (i) equation :2(39 a) + 6 = a78-2a + 6 = a3a = 84a = 28Putting value of a in (i) equation :b = 39 - 28

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/22b + 6 = aPutting value of b from (i) equation :2(39 a) + 6 = a78-2a + 6 = a3a = 84a = 28Putting value of a in (i) equation :b = 39 - 28b = 11

a = First number

a = First numberb = Second number

a = First numberb = Second numberATQ :

a = First numberb = Second numberATQ :a + b = 39

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/2

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/22b + 6 = a

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/22b + 6 = aPutting value of b from (i) equation :

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/22b + 6 = aPutting value of b from (i) equation :2(39 a) + 6 = a

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/22b + 6 = aPutting value of b from (i) equation :2(39 a) + 6 = a78-2a + 6 = a

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/22b + 6 = aPutting value of b from (i) equation :2(39 a) + 6 = a78-2a + 6 = a3a = 84

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/22b + 6 = aPutting value of b from (i) equation :2(39 a) + 6 = a78-2a + 6 = a3a = 84a = 28

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/22b + 6 = aPutting value of b from (i) equation :2(39 a) + 6 = a78-2a + 6 = a3a = 84a = 28Putting value of a in (i) equation :

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/22b + 6 = aPutting value of b from (i) equation :2(39 a) + 6 = a78-2a + 6 = a3a = 84a = 28Putting value of a in (i) equation :b = 39 - 28

a = First numberb = Second numberATQ :a + b = 39b = 39-a-(i)Also,b + 6 = a/22b + 6 = aPutting value of b from (i) equation :2(39 a) + 6 = a78-2a + 6 = a3a = 84a = 28Putting value of a in (i) equation :b = 39 - 28b = 11

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