Answered

IDNStudy.com, ang iyong platform ng sanggunian para sa malinaw na mga sagot. Sumali sa aming platform ng tanong at sagot upang makakuha ng eksaktong tugon sa lahat ng iyong mahahalagang tanong.

the sum of four consecutive odd integers is 152. find the numbers.


Sagot :

[tex]Equation; \\ \\ x+1+x+3+x+5+x+7=152 \\ \\ 4x+16=152 \\ \\ 4x=152-16 \\ \\ 4x=136 \\ \\ \frac{4x}{4}= \frac{136}{4}\ \ \ \ \ \ |\ Divide\ both\ terms\ by\ 4\ so\ we\ could\ get\ the\ value\ of\ x \\ \\ \boxed{x=34} [/tex]

[tex]Substitute\ the\ given\ equation\ where\ x\to\ 34 \\ \\ \\ x+1\to34+1=\boxed{35} \\ \\ x+3\to34+3=\boxed{37} \\ \\ x+5\to34+5=\boxed{39} \\ \\ x+7\to34+7=\boxed{41} \\ \\ \\ Therefore,\ the\ four\ consecutive\ odd\ numbers\ that\ is\ equal\ to\ 152 \\ is\ \underline{35},\ \underline{37},\ \underline{39}\ and\ \underline{41}... \\ \\ Hope it Helps:) \\ Domini[/tex]
I'll solve it using the RESAC Form.

R: Let x = first number
    x + 2 = second number
    x + 4 = third number
    x + 6 = fourth number

E : x + x + 2 + x + 4 + x + 6 =152

S : x + x + 2 + x + 4 + x + 6 = 152
    4x + 12 = 152
    [tex] \frac{4x}{4} = \frac{140}{4} [/tex]
   x = 35 ; x + 2 = 37 ; x + 4 = 39; x + 6 = 41

A : The four consecutive odd numbers that make up the sum of 152 are 35, 37, 39 and 41.