Math, asked by sunilam, 10 months ago

The sum of ages of a girl and her sister is 32 yrs and product of their ages in
yrs is 252. Find their present ages.​

Answers

Answered by sameeragnihotri12
5

ANSWER:-

LET THE AGE OF GIRL BE X AND THE AGE OF HER SISTER BE Y

GIVEN:- X+Y = 32

WHERE AS :- X×Y= 252

SO ; LET X BE 14

AND LET Y BE 18

SO X+Y= 14+18

= 32

SO X×Y=18×14

252

THEREFORE THE AGE OF GIRL IS 14 AND OF HER SISTER IS 18.

Answered by Anonymous
7

Let ,

The present age of girl and her sister be x and y

By the given condition ,

 \starx + y = 32 or x = 32 - y ------ (i)

 \starxy = 252 ---------------- (ii)

Put the value of x = 32 - y in eq (ii)

 \sf \implies (32 - y)y =252 \\  \\  \sf \implies</p><p>32y -  {y}^{2} = 252 \\  \\  \sf \implies</p><p> {y}^{2}  - 32y + 252 = 0 \\  \\ \sf \implies </p><p> {y}^{2}  - 18y - 14y + 252 = 0 \\  \\  \sf \implies</p><p>y(y - 18) - 14(y - 18) = 0 \\  \\  \sf \implies</p><p>(y - 14)(y - 18) \\  \\  \sf \implies</p><p>y = 14  \: and  \: y = 18 </p><p>

Put the value of y = 14 in eq (ii)

 \sf \implies x(14) = 252 \\  \\\sf \implies  x =  \frac{252}{14}  \\  \\\sf \implies x = 18

Again , Put the another value of y = 18 in eq (ii)

 \sf \implies x(18) = 252 \\  \\\sf \implies  x =  \frac{252}{18}  \\  \\\sf \implies x = 14

 \thereforeGirl's age = 18 yrs or 14 yrs and Girl's sister age = 14 yrs or 18 yrs

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