Question

Someone help me solve this ​

Answer 1

Answer:

1. so the ans will be either

x=9 or

x=6

3. the smaller no. is 4

Step-by-step explanation:

1. soln

${x}^{2} - 15x + 54 = 0 \\ {x}^{2} - (6 + 9)x + 54 = 0 \\ {x}^{2} - 6x - 9x + 54 = 0 \\ x(x - 6) - 9(x - 6) = 0 \\ \\ (x - 9)(x - 6) \\ x = 9 \\ x = 6$

3. soln

$let \: the \: greater \: no \: \: be \: x \\ and \: smaller \: no \: be \: y \\ given \\ x - y = 3 \: \: \: \: \: \: \: \: eq \: (i)\\ x + 2y = 15 \: \: \: \: \: \: eq \: (ii) \\ by \: substracting \: eq \: (i) \: and \: eq \: (ii) \: we \: get \\ (x - y) - (x + 2y) = 3 - 15 \\ x - y - x - 2y = - 12 \\ - 3y = - 12 \\ y = 12 \div 3 \\ y = 4$