1.

the ratio of present age of Ramesh and Mahesh is 5:7 . After 4 years the ratio of their age will be 3:4. Find out their present age.​

Answer»

ANSWER:

  • Present age of Ramesh = 20

GIVEN:

  • The ratio of present age of Ramesh and Mahesh is 5 : 7.

  • After 4 years the ratio of their age will be 3 : 4.

TO FIND:

  • The present age of Ramesh and Mahesh.

EXPLANATION:

LET the present age of Ramesh be 5X and the present age of Mahesh be 7x.

After four years:

3(X + 4) = 4(x + 4)

3x + 12 = 4x + 16

x = 4

Present age of Ramesh = 5(4) = 20

Present age of Mahesh = 7(4) = 28

VERIFICATION:

Ratio of age of Ramesh to age of Mahesh:

5x / 7x = 20 / 28 = 5 / 7

Hence the ratio of their present age = 5 : 7.

Ratio of age of Ramesh to age of Mahesh after four years:

(5x + 4) / (7 x + 4) = (20 + 4) / (28 + 4)

(5x + 4) / (7 x + 4) = 24 / 32

(5x + 4) / (7 x + 4) = 3 / 4

Hence the ratio of their age after four years will be 3 : 4.

HENCE VERIFIED.


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