Question

Teo number are in the ratio 5 : 7. if the sum of the number is 252 , find the largest number​

Answer 1

Answer:

Teo number are in the ratio 5 : 7. if the sum of the number is 252 , find the largest number

Answer 2

Given:-

• Two number are in the ratio 5 : 7.

• The sum of the numbers is 252.

To Find:-

• Find the largest number.

Concept:-

• Let's go through the concept first.Form an equation with the given values and substitute it in the equation and solve it to find the largest number.

Solution:-

Let the numbers be 5x and 7x

Sum of the numbers = 252

Largest number = ??

According to the question we have!

⟹ 5x + 7x = 252

⟹ 12x = 252

⟹ x = 252/12

⟹ x = 21

⟹ x = 21

Hence,

The value of x is 21.

Now,

Substitute the value of x in the numbers that we have taken!

For 5x,

⟹ 5x

⟹ 5 × 21 = 105

⟹ 105

Hence,

One number is 105.

For 7x,

⟹ 7x

⟹ 7 × 21 = 147

⟹ 147

Hence,

The other number is 147.

Therefore,

The numbers are 105 and 147 and the largest among the numbers is 147.

Verification:-

5x + 7x = 252

x = 21

⟹ (5 × 21) + (7 × 21) = 252

⟹ 105 + 147 = 252

⟹ 252 = 252

⟹ LHS = RHS

Hence,

It is verified.

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