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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