Question

Any idea? Only natural numbers. Pls help a bit.

Answer 1

Step-by-step explanation:

Given -

__ + __ = 8

× -

__ × __ = 9

= =

21 5

To Find -

Value of a, b, c, d

a + b = 8

× -

c × d = 9

= =

21 5

Now,

a + b = 8 ........ (a)

a × c = 21 ....... (b)

b - d = 5 ........ (c)

c × d = 9 ........ (d)

Subtracting (a) and (c), we get :-

a + b = 8

b - d = 5

(-) (+) (-)

_________

a + d = 3 ......... (e)

c × d = 9

» c = 9/d

substituting the value of c = 9/d on (b)

» a × c = 21

» a × 9/d = 21

» a = 21d/9

• » a = 7d/3

substituting the value of a = 7d/3 on (e)

» a + d = 3

» 7d/3 + d = 3

» 7d + 3d/3 = 3

» 10d/3 = 3

» 10d = 9

» d = 9/10

• » d = 0.9

substituting the value of d = 0.9 on a = 7d/3

» a = 7×0.9/3

» a = 7×0.3

• » a = 2.1

substituting the value of a = 2.1 on (a)

» a + b = 8

» 2.1 + b = 8

» b = 8 - 2.1

• » b = 5.9

substituting the value of a = 2.1 on (b)

» a × c = 21

» 2.1 × c = 21

» c = 21/2.1

• » c = 10

Hence,

The value of

a = 2.1

b = 5.9

c = 10

d = 0.9

Verification -

• a + b = 8

» 2.1 + 5.9 = 8

» 8 = 8

LHS = RHS

• b - d = 5

» 5.9 - 0.9 = 5

» 5 = 5

LHS = RHS

• a × c = 21

» 2.1 × 10 = 21

» 21 = 21

LHS = RHS

• c × d = 9

» 10 × 0.9 = 9

» 9 = 9

LHS = RHS

Hence,

Verified..