The larger number is 18 more than twice the smaller. if the sum of. the two numbers is 93, find both numbers.

Let the smaller number is X

and the larger number is Y

NOW according to question the larger number is 18 more than twice the smaller.

so y = 2x+18.......(1)

And the sum of. the two numbers is 93
So x+y = 93......(2)

From equation (1) put the value of y in equation (2)
=> x+2x+18= 93
Subtract 18 on both sides
=> 3x = 75
Divide by 3 on both sides
=> x = 15

Now put this new value of x in equation (1)
y = 2×15+18
=> y = 48

So the smaller number is 15 and the larger number is 48.

HOPE IT HELPED YOU.