Question

A sum of Rs 135 is divided into two parts.If the greater part exceeds the smaller by Rs 25 ,find the parts of the sum.

Answer 1

Answer:

Let greater part be x

smaller part = x-25

(x)+(x-25) = 135

2x= 160

x=₹80

x-25= ₹55

Answer 2

❍ Let the smaller part be x.

❍ So, greater part be x + 25.

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• We, know Sum of Rupees is 135.

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$\underline{\bigstar\:\boldsymbol{According \;to \;the\: given \;Question\; :}}$

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$\:\:\:\:\:\:\:\:\:\dashrightarrow\:\sf{x\:+\:x\:+\:25\:=\:135}$

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$\:\:\:\:\:\:\:\:\:\dashrightarrow\:\sf{2x\:+\:25\:=\:135}$

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$\:\:\:\:\:\:\:\:\:\dashrightarrow\:\sf{2x\:=\:135\:-\:25}$

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$\:\:\:\:\:\:\:\:\:\dashrightarrow\:\sf{2x\:=\:110}$

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$\:\:\:\:\:\:\:\:\:\dashrightarrow\:\sf{x\:=\:{\dfrac{110}{2}}}$

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$\:\:\:\:\:\:\:\:\:\dashrightarrow\:\sf{x\:=\:55}$

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So,

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• The smaller part is x ➻ Rs. 55
• Greater part is x + 25 = 55 + 25 ➻ Rs. 80

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$\:\therefore\:{\underline{\sf{Hence,\:the\:Smallest\:value\:is\:{\textsf{\textbf{Rs.\:55}}}\:and\:Greatest\:value\:is\:{\textsf{\textbf{Rs.\:80}}}}}}.$

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