Question

present age of an ano and are in the ratio
of 4:5 eight years from now, The ratio of
their age will be 5:6 find thier present age​

Answer 1

Step-by-step explanation:

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LET'S START......

LET, THE RATIONAL NO. BETWEEN THEIR AGES BE=x

PRESENT AGES OF THEM ARE IN THE RATIO 4:5

SO,THEIR AGES ARE 4x & 5x

8 YEARS FROM NOW THE RATIO OF THEIR AGES WILL BE 5:6

8 YEARS FROM NOW THEIR AGES, 4x + 8 & 5x + 8

THEIR RATIO IS 5:6

4x + 8 / 5x + 8 = 5/6

BY CROSS MULTIPLICATION

5(5x + 8)= 6(4x +8)

25x + 40 = 24 x + 48

25x - 24x = 48 - 40

x = 8

THE RATIONAL NO. IS 8

THEIR AGES ARE,

FOR THE FIRST AGE 4x = 4×8 = 32 YEARS

FOR THE SECOND AGE 5x = 5×8 = 40 YEARS

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