Question

the sum of three consecutive odd number is 603. then find the largest number

Answer 1

Let the three consecutive odd numbers be x+1, x+3, x+5
Their sum = 603
x+1+x+3+x+5 = 603
3x+9 = 603
3x = 603 - 9
3x = 594
x = 594/3
x = 198
Therefore, x = 198
x+1 = 198+1 = 199
x+3 = 198+3 = 201
x+5 = 198+5 = 203
Therefore, the largest number is 203

Answer 2

$\mathfrak{Answer:}$

= 203 .

$\mathfrak{Step-by-step\:Explanation:}$

$\underline{\bold{Given\:in\:the\:Question:}}$

• The sum of three consecutive odd number is 603.

$\underline{\bold{To\:Find:}}$

• Largest odd number.

$\mathfrak{Solution:}$

 

Let the smallest odd number be x.

$\boxed{\bold{Note:Difference\:between\:two\:consecutive\:odd\:no.will\:be\:always\:2.}}$

So

• Second odd no. = x - 2.
• Largest odd no. = x + 2.

$\mathfrak{According\:to\;Question:}$

$\implies\tt{x+x-2+x+2=603}\\\\\\\implies\tt{3x=603}\\\\\\\implies\tt{x=\dfrac{603}{3}}\\\\\\\implies\tt{x=201.}\\\\\\\bullet\bold{Largest\:odd\:no.=x+2}\\\\\\\tt{=201+2=203.}\\\\\\\boxed{\boxed{\bold{Largest\:odd\:no.=203.}}}$