Question

the sum of two numbers is 35 and there difference is 9. find the numbers.

Answer 1

let the numbers be x and y
ATQ,
x+y = 35 — (1)
x-y = 9 — (2)
add (1) and (2)
2x = 44
x = 22
now,
put x in (1)
x+y = 35
22+y = 35
y = 35-22
y = 13
so, the numbers are 22 and 13

Answer 2

Let the two numbers be x and y,


If x+y =35. ---------1equation
x-y=9. -----------2equation


Add both the equations,

x+y=35
x-y=9

2x=44

x=22.

Put the value of x in 1equation

x+y=35

22+y=35.

y=35-22

y=13


Then Twi numbers are 13 and 22