Explanation

Explanation

A sentence in "If....then..." form is called an implication. The only time when an implication is false is when the "If" part of the sentence is true and the "then" part of the sentence is false. The number 32 makes the first part of the statement true and the second part of the statement false.

Explanation

3.333 is the correct answer.

Explanation

Let the first num=x

second number will be=x+2

third num will be =x+4

Given condition

x+x+2+x+4=51

3x+6=51

3x=51-6

3x=45

x=45/3=15

first number=15

2nd number=15+2=17

3rd number=17+2=19

Explanation

Let's start by calling the two numbers we are looking for x and y.

x + y = 80

x - y = 20

x - y = 20

x = 20 + y

x + y = 80

20 + y + y = 80

20 + 2y = 80

2y = 60

y = 30

x + y = 80

x + 30 = 80

X = 50

Sum: 50 + 30 = 80

Difference: 50 - 30 = 20

Explanation

let the first integer be x,

the second and third will be x+2, and x+4

Their sum = 249

So

x+x+2+x+4=249

3x+6=249

3x=243

x= 81

the numbers are 81, 83, 85

Explanation

let

first number=x

2nd number will be= x+2

3rd number will be =x+4

Condition

x+x+2+x+4=66

3x+6=66

3x=66-6

3x=60

x=60/3=20

first number=20

2nd number=20+2=22

3rd number=20+4=24

Explanation

Let the numbers be a, b and c Then, a2 + b2 + c2 = 138 and (ab + bc + ca) = 131 (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) = 138 + 2 x 131 = 400 ⇒ (a + b + c) = 400−−−√ = 20

Explanation

Let the present ages of son and father be x and (60 -x) years respectively.

Then, (60 - x) - 6 = 5(x - 6)

 54 - x = 5x - 30

 6x = 84

 x = 14.

 Son's age after 6 years = (x+ 6) = 20 years

Explanation

Let the ten's digit be x and unit's digit be y

Then, x + y = 15 and x - y = 3   or   y - x = 3

Solving x + y = 15   and   x - y = 3, we get: x = 9, y = 6

Solving x + y = 15   and   y - x = 3, we get: x = 6, y = 9

So, the number is either 96 or 69

Hence, the number cannot be determined.