Question

The sum of three numbers is 61 the second number is 5 times the first while the third is 2 less than the first find the numbers

Answer 1

9 + 45 + 7 = 61

Explanation:

a+b+c = 61...eqn 1

b = 5a...eqn 2

c = a - 2...eqn 3

subst for b and c in eqn 1...

=> a+5a+a-2 = 61

=> 7a = 63

=> a = 9

subst for a in eqn 2...

=> b = 5×9 = 45

subst for a in eqn 3...

=> c = 9-2 = 7