Question

A nad have money in a ratio of 4:3 if a give 15 to be the money will be in a ratio of 17:18. What is the initial amount they had

Answer 1

Step-by-step explanation:

4x-15 / 3x+15=17/18

x=25

ans is 100 and 75

Answer 2

Correct Question

A and B have money in a ratio of 4:3 if A give Rs. 15 to B the money will be in a ratio of 17:18. What is the initial amount they had

Answer:

The initial amount A and B had Rs. 100 and Rs.75 respectively.

Step-by-step explanation:

Given:

A & B have money in a ratio of 4:3.

A give Rs. 15  to B and the money will be in a ratio of 17:18.

To Find:

The initial amount A and B had.

Solution:

Let the  initial amount A and B had Rs.p and Rs.q respectively.

As given-A & B have money in a ratio of 4:3.

$\frac{p}{q} =\frac{4}{3}$  

$p=\frac{4q}{3}$    --------------- equation no.01.

As given-A give Rs. 15  to B and the money will be in a ratio of 17:18.

$\frac{p-15}{q+15} =\frac{17}{18}$      ------------- equation no.02.

Putting value of p from equation no.01 to equation no. 02. we get.

$\frac{\frac{4q}{3} -15}{q+15} =\frac{17}{18}$

$\frac{4 q-45}{3(q+15)} =\frac{17}{18}$

$18(4q-45)=51(q+15)$

Dividing both sides with 3.

$6(4q-45)=17(q+15)$

$24q-270=17q+255$

$7q=525$

$q=Rs.\ 75$

Putting value of q in equation no.01.We get.

$p=\frac{4q}{3}$

   $=\frac{4\times75}{3}$

   $=Rs.100$

Thus,the initial amount A and B had  Rs. 100 and Rs.75  respectively.

PROJECT CODE#SPJ3