Question

રમેશ અને મહેશની હાલની ઉંમરનો ગુણોત્તર 5:7 છે. 4 વર્ષ પછી તેમની ઉંમરનો
ગુણોત્તર ૩:4 હશે તો તેમની હાલની ઉંમર શોધો.​

Answer 1

Given:

રમેશ અને મહેશની હાલની ઉંમરનો ગુણોત્તર 5:7 છે. 4 વર્ષ પછી તેમની ઉંમરનો

ગુણોત્તર ૩:4 હશે તો તેમની હાલની ઉંમર શોધો.​

The present age ratio of Ramesh and Mahesh is 5:7. 4 years after the ratio of their age is 3:4. Find their present age.

To find:

Their present age

Solution:

Let us say,

"5x" → the present age of Ramesh

"7x" → the present age of Mahesh

Age after 4 years:

Ramesh's age = (5x + 4) years

Mahesh's age = (7x + 4) years

The new ratio of their age after 4 years = 3: 4

As given in the question, we can form an equation as:

$(5x+ 4) : (7x + 4) = 3 : 4$

$\implies \frac{5x + 4}{7x+4} = \frac{3}{4}$

$\implies 4 (5x + 4 ) = 3 (7x + 4)$

$\implies 20x + 16 = 21x + 12$

$\implies 21x - 20x = 16 - 12$

$\implies \bold{x = 4}$

Thus,

The present age of Ramesh = $5x = 5\times 4 = \boxed{\bold{20\:years}}$

and

The present age of Mahesh = $7x = 7\times 4 = \boxed{\bold{28\:years}}$

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