Question

$the \: sum \: of \: three \: consecutive \: multiples \: of \: 4 \: is \: \\ 252.find \: them.$
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Answer 1

Question :-

• the sum of three consecutive multiples of 4 is 252. find the numbers

Answer :-

• let one number be x
• then second number = x + 4
• and third number = x + 4 + 4 = x + 8

and it is given that, sum of these numbers is 252

$\bold{: \implies x + x + 4 + x + 8 = 252} \\ \\ \bold{: \implies 3x + 12 = 252 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies 3(x + 4) = 252 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies x + 4 = \cancel \frac{252}{3} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies x + 4 = 84 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies x = 84 - 4} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies x = 80 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

so, first number is 80

then, second number = 80 + 4 = 84

and third number = 80 + 8 = 88

hence, three numbers are 80, 84 and 88