The sum of two numbers is 155, while the difference of the two numbers is 37

Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

We will be using simultaneous equations to solve this problem.

Let's first establish the equations which we will require to solve this problem.

Let number no. 1 = x

Let number no. 2 = y

Equation No. 1 -

x + y = 155

Equation No. 2 -

x - y = 37

First we will make ( x ) the subject in the first equation.

Equation No. 1 -

x + y = 155

x = 155 - y

Next we will substitute the value of ( x ) from the first equation into the second equation to solve for ( y ).

Equation No. 2 -

x - y = 37

( 155 - y ) - y = 37

- y - y = 37 - 155

- 2y = - 118

y = - 118 / - 2

y = 118 / 2

y = 59

Then we will substitute the value of ( y ) from the second equation into the first equation to solve for ( x ).

x = 155 - y

x = 155 - ( 59 )

x = 96

FINAL ANSWER:

Therefore, the two numbers are 96 and 59.

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