Respuesta :
Answer:
150
Step-by-step explanation:
Let :
⇒ The numbers can be denoted as x, 3x, and 5x
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Solving :
⇒ It mentions their sum is 270
⇒ x + 3x + 5x = 270
⇒ 9x = 270
⇒ x = 30
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Largest number :
⇒ 5x
⇒ 5(30)
⇒ 150
Answer :
- Largest number is 150.
Step by step explaination :
Here we have been given with the ratio of three numbers that is 1 : 3 : 5. So let us assume a common factor for them , we are assuming it as y.
Therefore,
- First number = 1 → 1 × y = 1y
- Second number = 3 → 3 × y = 3y
- Third number = 5 → 5 × y = 5y
Sum of them is 270 :
>> 1y + 3y + 5y = 270
>> 4y + 5y = 270
>> 9y = 270
>> y = 270 / 9
>> y = 90 / 3
>> y = 30
Henceforth, value of y is 30.
★ Finding out first number :-
>> First number = 1y
>> First number = 1 × 30
>> First number = 30
★ Finding out second number :-
>> Second number = 3y
>> Second number = 3 × 30
>> Second number = 90
★ Finding out third number :-
>> Third number = 5y
>> Third number = 5 × 30
>> Third number = 150