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.
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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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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
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☞ Harry = 28 years
☞ Hari = 20 years
✭ The age of 2 people are of the ratio 5:7
✭ After 4 years their age ratio will be 3:4
➠ Their Present ages?
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.
On cross-multiplying -
Therefore, their present ages -
★ Age of Hari
➝ 5x
➝ 5 × 4
➝
★ Age of Harry
➝ 7x
➝ 7 × 4
➝
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