Question

The present ages of hero and hero in the ratio 3 is to 4 5 years from now their ratio of their ages will be 4 is 25 find the present ages

Answer 1

Answer:

Presently; Veeru is 15 and Neeru is 20

Step-by-step explanation:

Given

See comment for proper format of question

Let their present ages be x and y

So:

$x : y = 3 : 4$

5 years time, the ratio will be:

$x + 5: y + 5= 4 : 5$

Required

Their present ages

Express both ratios as fractions

$x : y = 3 : 4$ becomes

$\frac{x}{y} = \frac{3}{4}$

and

$x + 5: y + 5= 4 : 5$ becomes

$\frac{x+5}{y+5} = \frac{4}{5}$

Make x the subject in: $\frac{x}{y} = \frac{3}{4}$

$x = \frac{3}{4}y$

$x = 0.75y$

Cross multiply in $\frac{x+5}{y+5} = \frac{4}{5}$

$5(x + 5) = 4(y + 5)$

Substitute $x = 0.75y$

$5(0.75y + 5) = 4(y + 5)$

Open brackets

$3.75y + 25 = 4y + 20$

Collect like terms

$3.75y -4y = -25 + 20$

$-0.25y = -5$

Divide by -0.25

$y = 20$

Substitute $y = 20$ in $x = 0.75y$

$x = 0.75 * 20$

$x = 15$