If the difference between the squares of two alternate natural numbers $a$ and $b$ is 300. Find the value of $\frac{a + b}{2}$ .

300

No worries! We‘ve got your back. Try BYJU‘S free classes today!

150

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

37.5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 75
The difference between the squares of any two alternate natural numbers is twice of their sum, that means:

$2 \times (a + b) = 300$

So, $\frac{a + b}{2} = 75$

Suggest Corrections

Similar questions

Q. The difference between the squares of two alternate natural numbers is 28. Find out the sum of the numbers.

Q. The difference between the squares of two consecutive natural numbers is 55. Find the product of the sum of the two numbers and the difference between the two numbers.

The total number of non-square natural numbers between $16^{2}$ and $17^{2}$ $= a \times b = c$ . What is the value of $a$ , $b$ and $c$ respectively?

Q. The difference between the LCM and HCF of the natural numbers

a

and

b

57

. What is the minimum value of

a + b

The sum of two natural numbers is 15 and the difference between their squares is 15. The difference between the numbers is ___.

Join BYJU'S Learning Program

If the difference between the squares of two alternate natural numbers a and b is 300. Find the value of a+b2.

The correct option is C 75The difference between the squares of any two alternate natural numbers is twice of their sum, that means: 2×(a+b)=300 So, a+b2=75

If the difference between the squares of two alternate natural numbers $a$ and $b$ is 300. Find the value of $\frac{a + b}{2}$ .

The correct option is C 75
The difference between the squares of any two alternate natural numbers is twice of their sum, that means:

$2 \times (a + b) = 300$

So, $\frac{a + b}{2} = 75$