The sum of three consecutive multiples of 3 is 153. Find the multiples....pls answer
Answers
Answer:
48+51+54
Step-by-step explanation:
3 NO=x,x+3,x+6
therefore ,x+x+3+x+6=153
3x+9=153
3x=159-9
3x= 144
x=144/3
= 48
1st no=x=48
2nd no=3+x=48+3=51
3rd no=6+x=54
Answer:
48, 51, 54
Step-by-step explanation:
Given:- Sum of three consecutive multiples of 3 = 153.
To Find:- Multiples whose sum = 153.
Solution:-
Multiples of 3 are 3, 6, 9, 12, 15, 18, ......
So we can see that multiples of 3 has a difference of 3.
Let the first multiple be x.
∴ The next two consecutive multiples will be x+3 and x+6.
Now,
x + x + 3 + x + 6 = 153
⇒ 3x + 9 = 153
⇒ 3x = 153 - 9
⇒ 3x = 144
⇒ x = 144/3
⇒ x = 48.
∴ The three consecutive multiples are 48, 48 + 3 = 51, 48 + 6 = 54.
Hence, the three consecutive multiples of three whose sum is 153 are 48, 51 and 54.
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