Question

solve this
Give mi answers​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Value\:of\:a=3.5}}}$

$\green{\tt{\therefore{Value\:of\:b=4.5}}}$

$\green{\tt{\therefore{Value\:of\:c=9.5}}}$

$\green{\tt{\therefore{Value\:of\:d=3.5}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{ \underline \bold{Given :}} \\ \huge{\boxed{ \small{a } \: \: } } \: \small{ + } \: \: \huge{\boxed{ \small{b} \: \: } } \: \small{ = 8} \\ \: \: \: \: + \: \: \: \: \: \: \: \: \: \: \: \: + \\ \huge{\boxed{ \small{c} \: \: } } \: \small{ - } \: \huge{\boxed{ \small{d} \: \: \: } } \: \small{ = 6} \\ \: \: \: \: || \: \: \: \: \: \: \: \: \: \: \: \: \: || \\ \: \: 13 \: \: \: \: \: \: \: \: \: \: \: \: \: 8 \\ \\ \red{ \underline \bold{To \: Find :}} \\ \tt: \implies a = ? \\ \\ \tt: \implies b= ? \\ \\ \tt: \implies c = ? \\ \\ \tt: \implies d = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies a + b = 8 - - - - - (1) \\ \\ \tt: \implies a + c = 13 - - - - - (2) \\ \\ \tt: \implies b + d = 8 - - - - - (3) \\ \\ \tt: \implies c - d = 6 \\ \\ \tt: \implies c = 6 + d - - - - - (4) \\ \\ \text{Putting \: value \: of \: c \: in \: (2)} \\ \tt: \implies a + 6 + d = 13 \\ \\ \tt: \implies a + d = 7 \\ \\ \tt: \implies a = 7 - d - - - - - (5)\\ \\ \text{Putting \: value \: of \: a \: in \: (1)} \\ \tt: \implies 7 - d + b = 8 \\ \\ \tt: \implies b - d = 1 - - - - - (6) \\ \\ \text{From \: (3) \: and \: (6)} \\ \tt: \implies 2b = 9 \\ \\ \green{\tt: \implies b = 4.5} \\ \\ \text{Putting \: value \: of \: b \:in \: (1) } \\ \tt: \implies a + 4.5 = 8 \\ \\ \green{\tt: \implies a = 3.5} \\ \\ \text{Putting \: value \: of \: a \: in \: (2)} \\ \tt: \implies 3.5 + c = 13 \\ \\ \green{\tt: \implies c = 9.5} \\ \\ \text{Putting \: value \: of \: c \: in \: (4)} \\ \tt: \implies 9.5 = 6 + d \\ \\ \green{\tt: \implies d = 3.5}$

Answer 2

Solution :-

Let all 4 boxes are :- w , x , y and z respectively .

Than , Given :-

→ w + x = 8 ------ Equation (1)

→ y - z = 6 ------- Equation (2)

→ w + y = 13 ----- Equation (3)

→ x + z = 8 ------- Equation (4)

Subtracting (4) from (3) , we get,

→ (w + y) - (x + z) = 13 - 8

→ (w - x) + (y - z) = 5

Putting value of Equation (2) here,

→ (w - x) + 6 = 5

→ (w - x) = 5 - 6

→ (w - x) = (-1) -------- Equation (5)

Now, Adding Equation (1) and (5) we get,

→ (w + x) + (w - x) = 8 + (-1)

→ 2w = 7

→ w = 3.5 (Ans).

Putting This value in Equation (1) now, we get,

→ 3.5 + x = 8

→ x = 8 - 3.5

→ x = 4.5 (Ans).

Putting This value in Equation (4) now, we get,

→ 4.5 + z = 8

→ z = 8 - 4.5

→ z = 3.5 (Ans).

Putting This value in Equation (2) now, we get,

→ y - 3.5 = 6

→ y = 6 + 3.5

→ y = 9.5 (Ans).

Hence, Values of w, x , y & z are 3.5, 4.5, 9.5 and 3.5 Respectively .

3.5 + 4.5 = 8

+. +

9.5 - 3.5 = 6

= =

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