Question

PLs help me. question is in attachment

Answer 1

Answer:

one number be 30 and another number 36

Step-by-step explanation:

$5.6 \\ 5x \times 6x = 180x \\ 30 {x}^{2} = 180x \\ \frac{30 \times x \times x}{x} \\ 30x = 180 \\x = \frac{180}{30} \\ x = 6 \\ \\ 5x = 5 \times 6 = 30 \\ 6x = 6 \times 6 = 36$

Answer 2

Answer:

The numbers are 30 and 36

Step-by-step explanation:

Let the two numbers be 5x and 6x and HCF be x

We know that  

Product of two number = Product of their LCM and HCF

∴ 5x × 6x = 180 × x

⇒ 30x² = 180x

⇒ 30x² ÷   x = 180

⇒ 30x = 180

⇒ x = 180 ÷ 30

  = 6

∴ 5 × 6 = 30

  6 × 6 = 36

Therefore, the numbers are 30 and 36. (Ans)