Divide 180 into two parts such that the first part is 12 less than twice the second part ?? Will mark you brainlist Plzz answer & other question is , The sum of three consecutive odd numbers is 75. Find the number ??? Plzz someone solve diz 2 questions ?????????
Answers
Solutions :
1) First question's answer :
Let, the two parts be x and y
Then, x + y = 180 .....(i)
Given that, the first part ( x ) is 12 less than twice the second part ( y ). Then
x = 2y - 12 .....(ii)
Putting x = 2y - 12 in (i), we get
2y - 12 + y = 180
⇒ 2y + y = 180 + 12
⇒ 3y = 192
⇒ y = 192 ÷ 3
⇒ y = 64
So, x = 2 ( 64 ) - 12, by (ii)
= 128 - 12
= 116
Hence, the two parts are 116 and 64.
2) Second question's answer :
Let, the three consecutive odd numbers are
2x + 1 , 2x + 3 and 2x + 5
Then, their sum
= 2x + 1 + 2x + 3 + 2x + 5 = 6x + 9
⇒ 6x + 9 = 75
⇒ 6x = 75 - 9
⇒ 6x = 66
⇒ x = 11
Therefore, the consecutive odd numbers are
2 ( 11 ) + 1 , 2 ( 11 ) + 3 and 2 ( 11 ) + 5
i.e., 22 + 1 , 22 + 3 and 22 + 5
i.e., 23 , 25 and 27