Question

the weight of two boxes is 25 1/2 kg.if one of the box weight 17 1/2 kg.find the weight of the other box
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Answer 1

Given:

⊱The weight of two boxes is 25½kg.

⊱ one of the box weighs 17½ kg.

To Find:

⊱ The weight of the other box.?

Solution:

⊱here the sum of their weights equal 25½ kg and the weight of one box is 17½ kg

⊱ so, the other box will be 25 ½ kg - 17½ kg.

➢ Now, let the weight of the other box be x

${: \implies}\sf 25\frac{1}{2} =17 \frac{1}{2} + x \\ \\ \\ {: \implies}\sf \frac{51}{2} = \frac{35}{2} + x \: \: \: \: \\ \\ \\ {: \implies}\sf \: x = \frac{51}{2} - \frac{35}{2} \: \: \: \\ \\ \\ {: \implies}\sf \: x = \frac{51 - 35}{2} \: \: \: \: \\ \\ \\ {: \implies}\sf \: x = \cancel\frac{16}{2} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ {: \implies}\sf { \pink {\boxed{ \sf\: x = 8}}} \pink\bigstar \: \: \: \: \: \: \:$

$\sf \therefore {\underline{the \: other \: box \: weighs \: 8kg}}$

Verification:

• ➢ Now let's add the weights and check weather they make 25½kg

⊱ 17½kg + 8kg

⊱ 17+8+½kg

⊱ 25½kg

${\huge{\sf{\underline{\pink{hence\:Proved \dag}}}}}$

Answer 2

Answer:

weight of two boxes = 25 1/2kg=51/2 kg

weight of one box = 17 1/2 kg.= 35/2 kg

let second weight be x kg.