Question

The sum of the two numbers is 35. Four times the larger number is 5 more than 5 times the smaller number. Find these numbers.

Answer 1

Answer:

Let the smaller no. be y and larger no. be x

X+Y=35,

4X=5Y+5(equation 2)

4X-5Y=5

4X=5y+5

X=5Y+5/4

Substituting this value in equation 1,

5y+5/4+y=35

(5y+5+4y)/4=35

9y+5=35×4

9y=140-5

9y=135

y=15

Hence X=35-15=20