Guess My Birthday !

Algebra Level 1

On teacher's day a group of students wanted to know the age of a particular teacher. When the student kept insisting,the teacher replied " Me and my grandson are together 73 years old.My son is 24 years younger than me. He in turn is 25 years older than my grandson."How old was the teacher ?


The answer is 61.

Clavin Rali by Clavin Rali , 22, Kuwait

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4 solutions

Nosto Neer
Sep 27, 2014

let,

teacher=x

grandson=73-x

son=x-24

again,

son=73-x+25=98-x

So,

x-24=98-x

2x=122

x=61

so teachers age is 61 years.

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T T = age of the teacher

G G = age of the grandson

S S = age of the son

From the problem,

T + G = 73 T + G = 73 or G = 73 − T G = 73 - T (equation 1)

S = T − 24 S = T - 24 (equation 2)

S = G + 25 S = G + 25 (equation 3)

Now equate equation 2 and equation 3, we have

T − 24 = G + 25 T - 24 = G + 25

Substitute equation 1 to the above equation.

T − 24 = 73 − T + 25 T - 24 = 73 - T + 25

After simplifying, we get

T = 61 T = 61

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Sunil Pradhan
Dec 20, 2014

T + GS = 73

T – S = 24

S – GS = 25

add all equations 2T = 166 then T = 61

if required individual ages can be calculated.

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Bhavya Peshavaria
Sep 25, 2014

son+24=teacher.
son-25=grandson.
if son=x.

grandson+teacher=73
x+24(means teacher)+x-25(means grandson)=73
x+24+x-25=73
2x+24=73+25
2x+24=98
2x=98-24
2x=74
x=74÷2
x=37

x=son.
Therefore, son=37
teacher=son+24
teacher=37+24
teacher=61

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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