Question 120

If a and b be positive integers such that $$a^2-b^2 = 19$$, then the value of a is

Solution

Share

$$a^2-b^2 = 19$$
19 is a prime number 
(a + b)(a - b) = 19 x 1
So a + b = 19
     a - b = 1
Adding both the equations we get 2a = 20
                                                   a = 10

Get AI Help

View More Questions From Number Systems

Create a FREE account and get:

  • Free SSC Study Material - 18000 Questions
  • 230+ SSC previous papers with solutions PDF
  • 100+ SSC Online Tests for Free

Free SSC Quant Questions

SSC Data InterpretationSSC GeometrySSC Linear EquationsSSC Number SystemsSSC Quadratic EquationsSSC TrigonometrySSC AgesSSC Arithmetic

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!

Enroll Now
Ask AI

Ask our AI anything

AI can make mistakes. Please verify important information.