Question

The sum of three consecutive multiples of 3 is 72. What is the larget number? 1 point

Answer 1

Hey!!

Given,

Sum of three consecutive multiples = 72

let the numbers be x + x + 3 + x + 6

ATP,

x + x + 3 + x + 6 = 72

3x = 72

x = 72/3

x = 24

Therefore,

the largest number is 24 + 3 = 27

HOPE THIS HELPS YOU....

Answer 2

$\huge{\mathfrak{\underline{Solution:-}}}$


Sum of Consecutive Multiples of 3 = 72

Let the number be x, x + 3 and x + 6.

ATQ,

$\bf x + x + 3 + x + 6 = 72 \\ \bf 3x + 9 = 72 \\ \bf 3x = 72 - 9 \\ \bf x = \frac{{ \cancel {63}} \: ^{ \large{ 21}} }{ \cancel3} \\ \bf x = 21 \\ \\ \bf x = \boxed{ \boxed{21 }}\\ \bf x + 3 = 21 + 3 \\ \bf \: \: \: \: \: \: \: \: \: \: \: \: \bf = \boxed{ \boxed{ 24 }} \\ \bf x + 6 = 21 + 6 \\ \bf \: \: \: \: \: \: \: \: \: \: \: \: = \boxed{ \boxed{27}}$


The largest no. is 27.