Question

If 40: x and x: 40 are in proportion. Then find the value of 2x.​

Answer 1

✮Question:

• If 40:x and x:40 are in proportion. Then find the value of 2x?

✮Solution:

• 40:x:x:40
• Product of means = Product of extremes
• x × x = 40 × 40
• x² = 1600
• x = √1600
• x = 40

✮ The value of x is 40

✮ The value of 2x is 2×40 = 80

Answer 2

If 40 : x and x : 40

If 40 : x and x : 40 [ We know for a proportion product means equals to product of extremes]

If 40 : x and x : 40 [ We know for a proportion product means equals to product of extremes]x × x = 40 × 40

${x}^{2} = 1600 \\ x = \sqrt{1600} \\ x = \sqrt{ {(40)}^{2} } \\ x = 40 \\ if \: x = 40 \\ then \: the \: value \: of \: 2x = 2 \times 40 = 80$

Therefore value of 2x = 80