Advertisements
Advertisements
प्रश्न
What number must be added to each of the numbers 15, 17, 34 and 38 to make them proportional?
Advertisements
उत्तर
Let x be added to each number, then numbers will be
15 + x, 17 + x, 34 + x, and 38 + x.
Now according to the condition
`(15 + x)/(17 + x) = (34 + x)/(38 + x)`
⇒ (15 – x)(38 + x) = (34 + x)(17 + x)
⇒ 570 + 53x + x2 = 578 + 51x + x2
⇒ x2 + 53x – x2 – 51x = 578 - 570
⇒ 2x = 8
⇒ x = 4
∴ 4 is to be added.
APPEARS IN
संबंधित प्रश्न
Using properties of proportion, solve for x. Given that x is positive:
`(2x + sqrt(4x^2 -1))/(2x - sqrt(4x^2 - 1)) = 4`
If y is the mean proportional between x and z; show that xy + yz is the mean proportional between x2 + y2 and y2 + z2.
If 2x – 1, 5x – 6, 6x + 2 and 15x – 9 are in proportion, find the value of x.
What number must be added to each of the numbers 16, 26 and 40 so that the resulting numbers may be in continued proportion?
If the cost of 14 m of cloth is Rs 1890, find the cost of 6 m of cloth.
If 22.5 m of a uniform iron rod weighs 85.5 kg, what will be the weight of 5 m of the same rod?
35 inland letters cost Rs 87.50. How many such letters can we buy for 315?
A labourer earns Rs 1980 in 12 days.
(i) How much does he earn in 7 days?
(ii) In how many days will he earn Rs 2640?
3 : 5 : : `square` : 20
Write True (T) or False (F) against the following statement:
16 : 24 : : 20 : 30
