Question

sum of two numbers is 90 if one exceed the other by 30 find the numbers
explain it ​

Answer 1

Answer:

Given :-

• Sum of two numbers is 90.
• One exceeds the other by 30.

To Find :-

• What are the numbers.

Solution :-

Let,

➲ First Number = a

➲ Second Number = a + 30

According to the question,

⇒ a + a + 30 = 90

⇒ 2a + 30 = 90

⇒ 2a = 90 - 30

⇒ 2a = 60

⇒ a = 60/2

➦ a = 30

Hence, the required numbers are :

❒ First Number :

↦ First Number = a

➠ First Number = 30

❒ Second Number :

↦ Second Number = a + 30

↦ Second Number = 30 + 30

➠ Second Number = 60

∴ The numbers are 30 and 60 respectively.

VERIFICATION :-

⇒ a + a + 30 = 90

By putting a = 30 we get,

⇒ 30 + 30 + 30 = 90

⇒ 60 + 30 = 90

➠ 90 = 90

Hence, Verified.

Answer 2

Given :

sum of two numbers is 90 if one exceed the other by 30 find the numbers

explain it

Solution :

Let us assume :

The first number be x

According to the question,

The other number exceeds the first one by 30

It means 30 will be added to x = x + 30

Now, it is given that sum of two numbers is 90 i.e sum of 1st one with the second gives 90

Hence, the equation is :

• 1st number + 2nd number = 90

• x + x + 30 = 90

• 2x + 30 = 90

• 2x = 90 - 30

• 2x = 60

Cross multiplying....

• x = 30

Hence, we got x as 30

Now,

Finding Numbers :

1st Number = x = 30

2nd Number = x + 30 = 30 + 30 = 60

✷ The First Number is 30 whereas the second one is 60

Verification :

Using the same equation we will verify :

• 1st number + 2nd number = 90

• 30 + 30 + 30 = 90

• 3 × 30 = 90

• 90 = 90

Hence, Verified !!