Math, asked by shama36, 1 year ago

three numbers are in AP the sum is 48 and the product of first and third term is 175 find the numbers​

Answers

Answered by kartik2507
6

Answer:

7, 16, 25

Step-by-step explanation:

let the AP be a-d, a, a+d

sum of the three numbers is 48

a - d + a + a + d = 48

3a = 48

a = 48/3 = 16

product of first and third is 175

(a - d) × (a + d) = 175

 {a}^{2}  -  {d}^{2}  = 175 \\  {16}^{2}  -  {d}^{2}  = 175 \\ 256 -  {d}^{2}  = 175 \\  -  {d}^{2}  = 175 - 256 \\  -  {d}^{2}  =  - 81 \\  {d}^{2}  = 81 \\ d =  \sqrt{81}  \\ d = 9 \\ the \: ap \: is \\ a - d = 16 - 9 = 7 \\ a = 16 \\ a + d = 16 + 9 = 25 \\ 7 \:  \:  \: 16 \:  \:  \: 25

hope you get your answer

Answered by velan72
0

Step-by-step explanation:

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