Question

one of the two numbers exceeds the other by 9. Four times the smaller added to five times the larger gives 108. Find the number​

Answer 1

Answer:

Let the two numbers be x and y. Let y be the smaller number. According to the question,

x = y + 9

x - y = 9 - Eq 1

5x + 4y = 108 - Eq 2

LCM of y, 4y = 4

Eq 1 × 4 4x - 4y = 36

Eq 2 × 1 5x + 4y = 108

(+)

=》 9x = 144

=》 x = 16.

Substituting the value of x in Eq 1,

x - y = 9

=》16 - 9 = y

=》7 = y

The value of x = 16

y = 7.