Question

What number should be added to each of the numbers 3,5,13 and 19 so that the resulting numbers may be in proportion?

Answer 1

Answer:

2

Step-by-step explanation:

let x be added to each number then all the 4 numbers will be in proportion

therefore , 3+x , 5+x , 13+x , 19+x are now in proportion

using proportionality,

3+x / 5+x = 13+x / 19+x

(3+x) × (19+x) = (13+x) × (5+x)

57 +3x+19x+x^2 = 65+13x+5x+x^2

22x+57 = 18x + 65

22x - 18x = 65 - 57

4x = 8

x =2

Therefore 2 should be added

Answer 2

2 Should be added to each of the numbers 3,5,13 and 19 so that the resulting numbers may be in proportion

Step-by-step explanation:

Let say x should be added to each of the numbers 3,5,13 and 19 so that the resulting numbers may be in proportion

=> (3 + x)/(5 + x)  = (13 + x)/(19 + x)

= (3 + x)(19 + x) = (5 + x)(13 + x)

=> 57 + x² + 22x = 65 + x² + 18x

=> 4x = 8

=> x = 2

2 should be added

Learn more:

If x is added to each of 14, 12, 34 and 30, the numbers so obtained, in this

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