TCS Equations Quiz-1

Ans= 25

Let the two digit number be 10x+y
Adding 2 after doubling the number is reverse of the number.
So 2(10x+y)+2 = 10y+x
19x -8y +2=0
Above equation satisfies for the value, x=2, y=5
So the number is 10*2+5= 25

43 time the no. And 34 time the reverse no.
43(10x+ y)=34(10y+ x)
430x+ 43y= 340y+34x
430x+43y-340y-34x=0
To solve this equation become
4x-3y=0 equation=2

Sum of no. And reverse no. Is 14
X+ Y= 14 equation=1
To solve both equation value of x and y
X= 6 and y= 8
number will be 68

Let x ques were correct. Therefore, (26- x) were wrong
8x−5(26−x)=08x−5(26−x)=0
Solving we get x=10

Video solution:

The primes p such that 3 < p < 100 and of the form 4x+1 are 5, 13, 17, 29, 37, 41, 53, 61, 73, 89 and 97. These are eleven in number.

Lets assume younger age = x Years.
So, elder age will be (as per question) = (x+25) years.
Given:
(X+25)-9 = 6(X-9)
By Solving the above equation
=> x=14 which is the age of younger
elder = 25+14 = 39 years.

sum of their current ages = 39+14 = 53

Let three consecutive odd integeres be
x,x+2,x+4
4x=6+2(x+4)
x=7
x+4=11