Question

THIS QUESTION IS BASED ON LINEAR EQUATION


Tim is 5 years older than JoAnn . 6 years from now the sum of the their ages will be 79 . how old are they now ?

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Answer 1

Answer:

Tim is 5 years older than Joann. Six years from now the sum of thier ages will be 79. How old are they now? Hence, Joann is 31 years old, and Tim is 36 years old.

Answer 2

$\underline{\sf{\large {\dag{ AnswEr-:}}}}$

• $\boxed{\sf{\large {\underline {\star{\bigstar {Present\: age\:of\:Tim\:is\: = 31\:years }}}}}}$
• $\boxed{\sf{\large {\underline {\star{\bigstar {Present\: age\:of\:JoAnn\:is\: = 36\:years }}}}}}$

$\star{\bigstar {\sf{\large { Explanation: }}}}$

• $\frak{\blue{Given \:\: -:}} \begin{cases} \sf{Tim \:is \:5 \:years\: older\: than\: JoAnn .} & \\\\ \sf{6 \:years\: from\: now\: the\: sum \:of \:the\: their\: ages\: will\: be \:79. }\end{cases}$

• $\frak{\blue{To \:Find\: -:}} \begin{cases} \sf{Find\:their\:Present\:ages. }\end{cases}$

$\star{\bigstar {\sf{\large { Solution-: }}}}$

• $\frak{\blue{Let's \:Assume \: -:}} \begin{cases} \sf{Tim \:present \:age \:be\:x\:years\: .}\end{cases}$

$\star{\bigstar {\sf{\large { Given\:that -: }}}}$

• Tim is 5 years older than JoAnn .

• Then ,

• $\implies{\sf{\large { Tim's \: present \:age\:is \: x \: years }}}$

• Then ,

• $\implies{\sf{\large { Age \:of\:JoAnn\:will\:be\:x+5\:years }}}$

$\star{\bigstar {\sf{\large { Therefore-: }}}}$

• $\frak{\blue{Their\:Present \:ages\: -:}} \begin{cases} \sf{Tim \:present \:age \:is\:x\:years\: .}& \\\\ \sf{ JoAnn \:present \:age \:is\:x+5\:years\:} \end{cases}$

$\star{\bigstar {\sf{\large { After\:6\:years \:-: }}}}$

• $\frak{\blue{After \:6\:years \: -:}} \begin{cases} \sf{Tim \: \:age \:will\:be\:x+6\:years\: .} & \\\\ \sf{JoAnn \:\:age\:will \:be\:x +5+6\:years\: }\end{cases}$

$\star{\bigstar {\sf{\large { Given\:that -: }}}}$

• 6 years from now the sum of the their ages will be 79 .

• Then ,

$\underline{\sf{\large {\dag{ According\:to\:question-:}}}}$

• $\implies{\sf{\large { (x+5)+(x+5+6) = 79 }}}$

• $\implies{\sf{\large { x+6 + x+5+6 = 79 }}}$

• $\implies{\sf{\large { x+6 + x+11 = 79 }}}$

• $\implies{\sf{\large { x +x + 6 +11= 79 }}}$

• $\implies{\sf{\large { x + x + 17 = 79 }}}$

• $\implies{\sf{\large { 2x + 17 = 79 }}}$

• $\implies{\sf{\large { 2x = 79-17 }}}$

• $\implies{\sf{\large { 2x = 62 }}}$

• $\implies{\sf{\large { x = \dfrac{62}{2} }}}$

• $\implies{\sf{\large { x = 31 }}}$

$\star{\bigstar {\sf{\large { Therefore-: }}}}$

• $\boxed{\sf{\large { x = 31 }}}$

$\star{\bigstar {\sf{\large { Now-: }}}}$

• $\frak{\blue{Putting \:x =31 -:}} \begin{cases} \sf{Tim \:present \:age \:is\:x\:years\: = 31 \: years .}& \\\\ \sf{ JoAnn \:present \:age \:is\:x+5\:years\:= 31 + 5 = 36 \: years} \end{cases}$

$\star{\bigstar {\sf{\large { Hence-: }}}}$

• $\boxed{\sf{\large {\underline {\star{\bigstar {Present\: age\:of\:Tim\:is\: = 31\:years }}}}}}$

• $\boxed{\sf{\large {\underline {\star{\bigstar {Present\: age\:of\:JoAnn\:is\: = 36\:years }}}}}}$

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