Question

The sum of two numbers for is 137and their difference is 43.Find the numbers(n)

Answer 1

$<b><i>Solutions :-$
___________________________

Let the one be x
And other number be y


So, The equation is =>

x + y = 137________(i)
x - y = 43________(ii)


Now,
Add the equation (i) and (ii). We get,

=> (x + y) + (x - y) = 137 + 43

=> x + y + x - y = 180

=> 2x = 180

=> x = 180/2 = 90




Substitute the value of x in equation (i) we get,


=> x + y = 137

=> 90 + y = 137

=> y = 137 - 90 = 47



Hence,

The sum of two numbers 90 and 47 is 137
And Difference between the two numbers 90 and 37 is 43

Answer 2

Let the 1st number be x

Let the 2nd number be x - 43



A/q,

x + x - 43 = 137

2x = 137 + 43

2x = 180

x = $\frac{180}{2}$

x = 90




1st number => x => 90

2nd number => x - 43 => 90 - 43 => 47





$\therefore{}$ The numbers are 90 and 47