Question

4. (i) If the same number be added to the numbers 2. 4. 14 and 22 then the resultant
numbers are in proportion. Find the number.​

Answer 1

Answer:

2

Step-by-step explanation:

Let the number to be added be X.

• 2+x/4+x = 14+x/22+x
• On cross-multiplication,

(2+x)(22+x)= (14+x)(4+x)

• 44+2x+22x+x^2 = 56+14x+4x+x^2
• 44+24x = 56+18x
• 24x-18x = 56-44
• 6x= 12
• X= 12/6 = 2

Ans.) 2 must be added