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A boy was asked to multiply a number by 7/8, instead he divided the number by 7/8 and got the result 15/14 more than he should have got if he had multiplied the number by 7/8. the number is ----

A boy was asked to multiply a number by 7/8, instead he divided the number by 7/8 and got the result 15/14 more than he should have got if he had multiplied the number by 7/8. the number is ---- Correct Answer 4

<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><mtext>&#x9A7;&#x9B0;&#x9BF;,&#xA0;&#x9B8;&#x982;&#x996;&#x9CD;&#x9AF;&#x9BE;&#x99F;&#x9BF;&#xA0;x</mtext><mspace linebreak = "newline"/><mo>&#x2234;</mo><mo>&#xA0;</mo><mi>x</mi><mo>&#xF7;</mo><mfrac><mn>7</mn><mn>8</mn></mfrac><mo> = </mo><mfenced><mrow><mi>x</mi><mo> - </mo><mfrac><mn>7</mn><mn>8</mn></mfrac></mrow></mfenced><mo> + </mo><mfrac><mn>15</mn><mn>14</mn></mfrac><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mfrac><mrow><mn>8</mn><mi>x</mi></mrow><mn>7</mn></mfrac><mo> = </mo><mfrac><mrow><mn>7</mn><mi>x</mi></mrow><mn>8</mn></mfrac><mo> + </mo><mfrac><mn>15</mn><mn>14</mn></mfrac><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mfrac><mrow><mn>8</mn><mi>x</mi></mrow><mn>7</mn></mfrac><mo> - </mo><mfrac><mrow><mn>7</mn><mi>x</mi></mrow><mn>8</mn></mfrac><mo> = </mo><mfrac><mn>15</mn><mn>14</mn></mfrac><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mfrac><mrow><mn>64</mn><mi>x</mi><mo> - </mo><mn>49</mn><mi>x</mi></mrow><mn>56</mn></mfrac><mo> = </mo><mfrac><mn>15</mn><mn>14</mn></mfrac><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mn>15</mn><mi>x</mi><mo> = </mo><mfrac><mrow><mn>15</mn><mo>&#xD7;</mo><mn>56</mn></mrow><mn>14</mn></mfrac><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mi>x</mi><mo> = </mo><mfrac><mrow><mn>15</mn><mo>&#xD7;</mo><mn>56</mn></mrow><mrow><mn>14</mn><mo>&#xD7;</mo><mn>15</mn></mrow></mfrac><mspace linebreak = "newline"/><mo>&#x2234;</mo><mo>&#xA0;</mo><mi>x</mi><mo> = </mo><mn>4</mn></math>

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