{"id":10841,"date":"2022-06-02T20:24:27","date_gmt":"2022-06-02T14:54:27","guid":{"rendered":"https:\/\/mathemerize.com\/?p=10841"},"modified":"2022-06-02T20:26:02","modified_gmt":"2022-06-02T14:56:02","slug":"aftab-tells-his-daughter-seven-years-ago-i-was-seven-times-as-old-as-you-were-then-also-three-years-from-now-i-shall-be-three-times-as-old-as-you-will-be","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/aftab-tells-his-daughter-seven-years-ago-i-was-seven-times-as-old-as-you-were-then-also-three-years-from-now-i-shall-be-three-times-as-old-as-you-will-be\/","title":{"rendered":"Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.”"},"content":{"rendered":"\n

Question<\/strong> : Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.” (Isn’t this interesting?) Represent this situation algebraically and graphically.<\/p>\n\n\n\n

Solution<\/strong> : Let the present age of father be x years and the age of daughter be y years<\/p>\n\n\n\n

Seven years ago fathers’s age = (x – 7) years<\/p>\n\n\n\n

Seven years ago daughter’s age = (y – 7) years<\/p>\n\n\n\n

According to problem,<\/p>\n\n\n\n

(x – 7) = 7(y – 7)   or   x – 7y = -42                         ………….(1)<\/p>\n\n\n\n

After three years father’s age = (x + 3) years<\/p>\n\n\n\n

After three years daughter’s age = (y + 3) years<\/p>\n\n\n\n

According to the condition given in the question,<\/p>\n\n\n\n

(x +3) = 3(y + 3)     or     x – 3y =  6                    …………..(2)<\/p>\n\n\n\n

For (x – 7y = -42)<\/p>\n\n\n\n

x<\/td>0<\/td>6<\/td>14<\/td><\/tr>
y = \\(x + 42\\over 7\\)<\/td>6<\/td>7<\/td>8<\/td><\/tr>
Points<\/td>A<\/td>B<\/td>C<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

For x – 3y = 6<\/p>\n\n\n\n

x<\/td>6<\/td>12<\/td>18<\/td><\/tr>
y = \\(x – 6\\over 3\\)<\/td>0<\/td>2<\/td>4<\/td><\/tr>
Points<\/td>D<\/td>E<\/td>F<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Plot the points A(0, 6), B(7, 7), C(4,8) and join them to get a straight line ABC. Similarly plot the points D(6, 0), E(12, 2) and F(18, 4) and join them to get a straight line DEF.<\/p>\n\n\n\n

\"\"
Graph<\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"

Question : Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.” (Isn’t this interesting?) Represent this situation algebraically and graphically. Solution : Let the present age of father be x years …<\/p>\n

Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.”<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[911,43],"tags":[],"yoast_head":"\nAftab tells his daughter, "Seven years ago, I was seven times as old as you were then. 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