Question

The numbers on two consecutively numbered gym lockers a have a sum of 153. What are the locker numbers?

Answer 1

Answer:

76 and 77 are the locker numbers.

Step-by-step explanation:

Let the number be x and (x + 1)

The sum of two consecutively number is 153

Now,

x + (x + 1) = 153

x + x + 1 = 153

2x + 1 = 153

Now, subtract 1 from both side we get,

2x + 1 - 1 = 153 - 1

2x = 152

Now, divide by 2 from both side we get,

2x/2 = 152/2

x = 76

Here, The value of x is 76

Now, the first number = x = 76 and the Second number = (x + 1) = 76 + 1 = 77

Thus, 76 and 77 are the locker numbers.

FOR VERIFICATION ONLY:-

x + (x + 1) = 153

76 + (76 + 1) = 153

153 = 153

L.H.S = R.H.S

Hence Proved!

-TheUnknownScientist 72