Question

If m + n = 15, n + p = 14, and p + m = 18, find the value of m +n + p.​

Answer 1

Answer:

47/2 = 23.5

Step-by-step explanation:

Given :

m + n = 15_____(1)

n + p = 14______(2)

p + m = 18_____(3)

Solution :

Taking eq. 1

m + n = 15

n = 15 - m _____(4)

Taking eq. 2

Putting value of n

n + p = 14

(15 - m) + p = 14

15 - m + p = 14

p - m = 14 - 15

p - m = -1_____(5)

Taking eq. 3 and eq. 5

p + m = 18

p - m = -1

Solving eq. 3 and 5

2p = 17

p = 17/2

Putting value of p = 17/2 in eq. 2

n + p = 14

n + 17/2 = 14

(2n + 17)/2 = 14

2n + 17 = 14×2

2n + 17 = 28

2n = 28 - 17

2n = 11

n = 11/2

Putting value of n = 11/2 in eq. 4

n = 15 - m

11/2 = 15 - m

11 = 2(15 - m)

11 = 30 - 2m

2m = 30 - 11

2m = 19

m = 19/2

m = 19/2

n = 11/2

p = 17/2

= m + n + p

= 19/2 + 11/2 + 17/2

= 47/2

= 23.5