Question

Divide 105 into 2 parts such that the greater part is 4 times the smaller part?

Answer 1

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Answer 2

Hey!
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Let the greater part be $\bf{x}$ and smaller part be $\bf{y}$

$\large{\sf{∴ \: \: x = 4y}}$

$\large{\implies{\sf{x + y = 105}}}$

$\large{\implies{\sf{4y + y = 105 \:( Since \:x = 4y )}}}$

$\large{\implies{\sf{5y = 105}}}$

$\large{\implies{\sf{y = \frac{105}{5} }}}$

Smaller part = $\small{\sf{\fbox{\red{21 \:( y = 21 )}}}}$

Greater part = $\small{\sf{\fbox{\red{21 × 4 = 84\: ( x = 84 )}}}}$