Question

Trini took some photos the number of photos she took is a two-digit number the sum of the digits is 11 the tens digit is 3 more than the ones digit how many photos did trini take

Answer 1

Trini took 74 photos

Solution:

Given that Trini took some photos

The number of photos she took is a two-digit number

Let the number in unit place be  x  and the number in tens place be  y

Then the two digit number is yx

Given that sum of digits is 11

Therefore,

x + y = 11 ---- eqn 1

The tens digit is 3 more than the ones digit

Therefore, we frame a equation as,

y = 3 + x ---- eqn 2

Solve eqn 1 and eqn 2 to get value of "x" and "y"

Substitute eqn 2 in eqn 1

x + 3 + x = 11

2x + 3 = 11

2x = 11 - 3

2x = 8

x = 4

Substitute x = 4 in eqn 2

y = 3 + 4 = 7

Thus the two digit number is 74. Thus he took 74 photos