Question

Two numbers are in the ratio 6:5 .If their
sum is 110 ,find the numbers.
Is the answer
(A) 10,10
(B) 5,15
(C) 60,50
(D) 8,12
Answer pleas

Answer 1

★ Answer ★

• The first Number = 60
• The second Number = 50

Step by step Explanation :-

★ Given :-

• Two numbers are in the ratio 6:5 .
• Their sum is 110.

Have to Find :-

• What are these two numbers ?

Solution :-

As we know the ratio of numbers is 6 : 5.

Let's consider the required numbers be

➤ First number = 6x

➤ Second Number = 5x

Now,

As from the given , the sum of the numbers is " 110 "

Then,

↬6x + 5x = 110

↬ 11x = 110

↬ x = 110/11

↬ x = 10

Therefore,

The required numbers :-

• First number = 6x

↬ 6 × 10

↬ 60.

• Second Number = 5x

↬ 5 × 10

↬ 50.

★ Verification ★

Putting the value of x

↬ 5x + 6x = 110

↬ 5 × 10 + 6 × 10 = 110

↬ 50 + 60 = 110

↬ 110 = 110

L.H.S = R.H.S

Hence , Proved!

Therefore, option(c) is the required answer.

________________________

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Answer 2

$\huge\sf\underline\blue{Solution}$

Given that

Two numbers are in ratio 6:5

Sum of two numbers is 110

So let two numbers are 6x,5x

Therefore

6x + 5x =110

11x = 110

x = 10

Therefore 6x = 60

5x =50

The required numbers are 60,50

$\huge\bf\red{Lets verify}$

Sum of the numbers = 60+50=110

60:50 ratio = 6:5

Hence two conditions satisfied

$\huge\sf{Answer:optionc}$