Question

Present ages of Sialo and Vishal are in the ratio 5:7 after 5 years the ratio of their ages will be 5:6 find their ages

Answer 1

LET PRESENT AGE OF SIALO BE 5x

PRESENT AGE OF VISHAL BE 7x

.: AFTER 5 YEARS

AGE OF SIALO = 5x +5

AGE OF VISHAL = 7x + 5

RATIO OF SIALO : VISHAL = 5/6

.: 5x + 5 / 7x + 5 = 5 / 6

.: 6 (5x + 5) = 5(7x + 5)

.: 30x + 30 = 35x + 25

.: 30 - 25 = 35x - 30x

.: 5 = 5x

.: x = 1

.: PRESENT AGE OF SIALO= 5x = 5×1= 5 YEARS.

.: PRESENT AGE OF VISHAL = 7x = 7×1= 7 YEARS.

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Answer 2

Let the common factor be x

So present ages 5x,7x

After 5 years

Ages=5x+5,7x+5

Ratio=5x+5/7x+5=5/6

Cross multiply

30x+30=35x+25

x=1

Present ages=5yrs,7yrs