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The average of a group of 10 students is 15 years. When 5 more students joined the group, the average age rose by 1 year. What is the average age of the newly joined students?

The average of a group of 10 students is 15 years. When 5 more students joined the group, the average age rose by 1 year. What is the average age of the newly joined students? Correct Answer 18

<math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>H</mi><mi>i</mi><mi>n</mi><mi>t</mi><mi>s</mi><mo>:</mo><mo>&#xA0;</mo><mn>10</mn><mo>&#xA0;</mo><mtext>&#x99C;&#x9A8;&#xA0;&#x99B;&#x9BE;&#x9A4;&#x9CD;&#x9B0;&#x9C7;&#x9B0;&#xA0;&#x9AC;&#x9DF;&#x9C7;&#x9B8;&#x9C7;&#x9B0;&#xA0;&#x9B8;&#x9AE;&#x9B7;&#x9CD;&#x99F;&#x9BF; = </mtext><mfenced><mrow><mn>15</mn><mo>&#xD7;</mo><mn>10</mn></mrow></mfenced><mtext> = 150&#xA0;&#x9AC;&#x99B;&#x9B0;</mtext><mspace linebreak = "newline"/><mn>15</mn><mo>&#xA0;</mo><mi>&#x99C;&#x9A8;</mi><mo>&#xA0;</mo><mi>&#x99B;&#x9BE;&#x9A4;&#x9CD;&#x9B0;&#x9C7;&#x9B0;</mi><mo>&#xA0;</mo><mi>&#x9AC;&#x9DF;&#x9C7;&#x9B8;&#x9C7;&#x9B0;</mi><mo>&#xA0;</mo><mi>&#x9B8;&#x9AE;&#x9B7;&#x9CD;&#x99F;&#x9BF;</mi><mo> = </mo><mfenced><mrow><mn>15</mn><mo>&#xD7;</mo><mn>16</mn></mrow></mfenced><mo> = </mo><mn>240</mn><mo>&#xA0;</mo><mtext>&#x9AC;&#x99B;&#x9B0;</mtext><mspace linebreak = "newline"/><mo>&#x2234;</mo><mo>&#xA0;</mo><mtext>&#x9A8;&#x9A4;&#x9C1;&#x9A8;&#xA0;5&#xA0;&#x99C;&#x9A8;&#xA0;&#x99B;&#x9BE;&#x9A4;&#x9CD;&#x9B0;&#x9C7;&#x9B0;&#xA0;&#x9AC;&#x9DF;&#x9C7;&#x9B8;&#x9C7;&#x9B0;&#xA0;</mtext><mi>&#x9B8;&#x9AE;&#x9B7;&#x9CD;&#x99F;&#x9BF;</mi><mtext> = &#xA0;</mtext><mfenced><mrow><mn>240</mn><mo> - </mo><mn>150</mn></mrow></mfenced><mtext>&#xA0;</mtext><mi>&#x9AC;&#x99B;&#x9B0;</mi><mo> = </mo><mn>90</mn><mo>&#xA0;</mo><mi>&#x9AC;&#x99B;&#x9B0;</mi><mspace linebreak = "newline"/><mo>&#x2234;</mo><mo>&#xA0;</mo><mi>&#x9A8;&#x9A4;&#x9C1;&#x9A8;</mi><mo>&#xA0;5&#xA0;</mo><mi>&#x99C;&#x9A8;</mi><mo>&#xA0;</mo><mi>&#x99B;&#x9BE;&#x9A4;&#x9CD;&#x9B0;&#x9C7;&#x9B0;</mi><mo>&#xA0;</mo><mi>&#x9AC;&#x9DF;&#x9C7;&#x9B8;&#x9C7;&#x9B0;</mi><mo>&#xA0;</mo><mtext>&#x997;&#x9DC; = </mtext><mfrac><mn>90</mn><mn>5</mn></mfrac><mtext> = 18&#xA0;</mtext><mi>&#x9AC;&#x99B;&#x9B0;</mi></math>

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