Question

1.
(b) The sum of two numbers is 30. The larger number is 5 more than four times the smaller one.​

Answer 1

The sum of two numbers is 30

x+y=30..........(1)

The larger number is 5 more than four times the smaller one

x=4y+5..........(2)

Put the value of x from (2) to (1)

x+y=30..........(1)

4y+5+y=30

5y+5=30

5y=30-5

5y=25

5y/5=25/5

y=5

Put the value of y in (2)

x=4y+5..........(2)

x=4(5)+5

x=20+5

x=25