Math, asked by ltannelstor, 1 year ago

The age of hari and harry are in the ratio 5:7.four years from now their ages will be in the ratio 3:4.find their present age.

Answers

Answered by jyuvaraj03
6
Let the present age of Hari and Harry be x and y resp.
Now,
x/y = 5/7
⇒x = 5y/7

After 4 years,
(x+4)/(y+4) = 3/4
⇒4x + 16 = 3y + 12
but x = 5y/7
⇒4(5y/7) + 16 = 3y + 12
⇒(20y/7) + 16 = 3y + 12
⇒20y+112 = 21y + 84
⇒y - 28 = 0
y = 28

x = 20

Therefore, the current ages of Hari are Harry are 20 and 28.

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Answered by ExᴏᴛɪᴄExᴘʟᴏʀᴇƦ
0

\huge\sf\pink{Answer}

☞ Harry = 28 years

☞ Hari = 20 years

\rule{110}1

\huge\sf\blue{Given}

✭ The age of 2 people are of the ratio 5:7

✭ After 4 years their age ratio will be 3:4

\rule{110}1

\huge\sf\gray{To \:Find}

➠ Their Present ages?

\rule{110}1

\huge\sf\purple{Steps}

Let the present age of Hari be 5x and present age of Harry be 7x.

Four years later ;

◕ Hari's age = 5x + 4

◕ Harry's age = 7x + 4

It is given that, the ratio of their ages after four years will be 3 : 4.

\bullet {\sf \; \dfrac{5x + 4}{7x +4}= \dfrac{3}{4}}

On cross-multiplying -

\dashrightarrow \sf 4(5x + 4) = 3(7x + 4) \\ \\ \dashrightarrow \sf 20x + 16 = 21x + 12 \\ \\ \dashrightarrow \sf 21x - 20x = 16 - 12 \\ \\ \dashrightarrow \sf x = 4

Therefore, their present ages -

Age of Hari

➝ 5x

➝ 5 × 4

\sf\color{lime}{20 \ years}

Age of Harry

➝ 7x

➝ 7 × 4

\sf\color{aqua}{28 \ years}

\rule{170}3

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