Question

Three numbers are in the ratio 1:3:5 and their sum is 270. find the largest number.

Answer 1

150

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 2

• 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