Question 176344
Let A and B be the amounts deposited.
1.{{{A+B=100000}}}
"Twice the larger deposit(B) is P25,000 less than three times the smaller deposit(A)"
2.{{{2B=3A-25000}}}
The choice of A and B as smaller and larger deposit is arbitrary... could be the other way around.
From eq. 1,
1.{{{A+B=100000}}}
Let's multiplied both sides by 2,
1.{{{2A+2B=200000}}}
Now substitute eq. 2 into eq. 1 and solve for A.
1.{{{2A+2B=200000}}}
{{{2A+(3A-25000)=200000}}}
{{{5A-25000=200000}}}
{{{5A=225000}}}
{{{highlight(A=45000)}}}
From eq. 1,
1.{{{A+B=100000}}}
{{{45000+B=100000}}}
{{{highlight(B=55000)}}}