Question

Divide 64 into two parts such that three times the greater part will be equal to five times the
smaller one​

Answer 1

Answer:

the smaller part is 24 and the larger part is 40

Answer 2

$\huge\text{\underline{Answer}}$

Let the smaller part be x

then, greater part = (64 - x )

According to question

$\bold{</u></strong><strong><u>3</u></strong><strong><u>(</u></strong><strong><u>6</u></strong><strong><u>4</u></strong><strong><u> </u></strong><strong><u>-</u></strong><strong><u> </u></strong><strong><u>x</u></strong><strong><u> </u></strong><strong><u>)</u></strong><strong><u> </u></strong><strong><u>=</u></strong><strong><u> </u></strong><strong><u>5</u></strong><strong><u>(</u></strong><strong><u>x</u></strong><strong><u>)</u></strong><strong><u> </u></strong><strong><u>}$

$\implies$ $\bold{192 - 3x = 5x }$

$\implies$ $\bold{192 = 5x + 3x }$

$\implies$ $\bold{192 = 8x}$

$\implies$ $\bold{x = 24 }$

Putting x = 24

larger part = ( 64 - 24 ) = 40

hence,

Smaller part = 24

Larger part = 40

$\huge\text{\underline{</strong><strong>V</strong><strong>e</strong><strong>r</strong><strong>i</strong><strong>f</strong><strong>i</strong><strong>c</strong><strong>a</strong><strong>t</strong><strong>i</strong><strong>o</strong><strong>n</strong><strong>}}$

Taking L. H.S. and R. H. S

$\implies$ 3 × 40 = 5 × 24

$\implies$ 120 = 120

hence L. H. S = R. H. S verified..