Question

If X is prime and Y is a composite number such that X + Y = 240 and their LCM is 4199. Find X and Y.​

Answer 1

Answer:

<mfrac>

<mrow data-mjx-texclass="ORD">

<mrow data-mjx-texclass="ORD">

<mn>2</mn>

</mrow>

<msup>

<mrow data-mjx-texclass="ORD">

<mi>x</mi>

</mrow>

<mrow data-mjx-texclass="ORD">

<mrow data-mjx-texclass="ORD">

<mn>6</mn>

</mrow>

</mrow>

</msup>

<mo>&#x2212;</mo>

<mrow data-mjx-texclass="ORD">

<mn>5</mn>

</mrow>

<msup>

<mrow data-mjx-texclass="ORD">

<mi>x</mi>

</mrow>

<mrow data-mjx-texclass="ORD">

<mrow data-mjx-texclass="ORD">

<mn>5</mn>

</mrow>

</mrow>

</msup>

<mo>&#x2212;</mo>

<mrow data-mjx-texclass="ORD">

<mn>15</mn>

</mrow>

<msup>

<mrow data-mjx-texclass="ORD">

<mi>x</mi>

</mrow>

<mrow data-mjx-texclass="ORD">

<mrow data-mjx-texclass="ORD">

<mn>4</mn>

</mrow>

</mrow>

</msup>

<mo>+</mo>

<mrow data-mjx-texclass="ORD">

<mn>5</mn>

</mrow>

<msup>

<mrow data-mjx-texclass="ORD">

<mi>x</mi>

</mrow>

<mrow data-mjx-texclass="ORD">

<mrow data-mjx-texclass="ORD">

<mn>3</mn>

</mrow>

</mrow>

</msup>

<mo>&#x2212;</mo>

<mrow data-mjx-texclass="ORD">

<mn>4</mn>

</mrow>

<msup>

<mrow data-mjx-texclass="ORD">

<mi>x</mi>

</mrow>

<mrow data-mjx-texclass="ORD">

<mrow data-mjx-texclass="ORD">

<mn>2</mn>

</mrow>

</mrow>

</msup>

<mo>+</mo>

<mrow data-mjx-texclass="ORD">

<mn>16</mn>

</mrow>

</mrow>

<mrow data-mjx-texclass="ORD">

<msup>

<mrow data-mjx-texclass="ORD">

<mi>x</mi>

</mrow>

<mrow data-mjx-texclass="ORD">

<mrow data-mjx-texclass="ORD">

<mn>2</mn>

</mrow>

</mrow>

</msup>

</mrow>

</mfrac>

</math>