Question

sum of two consecutive even integers is 54. Find
sum of three consecutive odd numbers is 129.
sum of an integer and twice the next integer is 4
de 124 between two persons so that one gets
de 135 between two persons so that one gets
de 110 between two friends so that one gets
an is 32 years old and his son is 5 years
er's age be four times that of the son?
an is 42 years old and his son is 12 years o
siy times that of the son?
or son. Aft​

Answer 1

Step-by-step explanation:

Let one of the odd positive integer be x

then the other odd positive integer is x+2

their sum of squares

=x

2

+(x+2)

2

=x

2

+x

2

+4x+4

=2x

2

+4x+4

Given that their sum of squares = 290

2x

2

+4x+4=290

2x

2

+4x=286

2x

2

+4x−286=0

x

2

+2x−143=0

x

2

+13x−11x−143=0

x(x+13)−11(x+13)=0

(x−11)=0,(x+13)=0

Therfore ,x=11or−13

We always take positive value of x

So , x=11 and (x+2)=11+2=13

Therefore , the odd positive integers are 11 and 13