If the difference between two prime numbers is $59,$ then sum of their squares is

3253

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

3485

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

3725

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

3965

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

Open in App

Solution

The correct option is C $3725$
Since, $59$ is odd then one prime number must be even i.e. $2$
$\Rightarrow x - 2 = 59 \Rightarrow x = 61$
Other number is $61.$
Sum of squares $= 61^{2} + 2^{2} = 3725$

Suggest Corrections

Similar questions

The difference between two positive integers is 3. If the sum of their squares is 369, then the sum of the numbers is

If the difference between the squares of sum of two numbers and sum of squares of the two numbers is 72, then the product of the two numbers is

4

316

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