One number is 1 less than a second number Twice the second n

One number is 1 less than a second number.

Twice the second number is 14 more than 5 times the first.

Find the smaller number.

Question 2 options:

Solution

Ans: a) ==> 3

let the first number be x and the second number be y.

as stated let the first number be 1 less than the second, which means y -x = 1 (1)

and 5x - 1y = 14 (1)

these are 2 simultaneous equations.

Substituting y = 1 + x in above equation
we get
5x - (1+x) = 14
5x - 1 - x = 14
5x - 1 = 14
5x = 15
x = 3

y = 1 + x
y = 1 + 3
y = 4


so the two numbers are 3 & 4