Question

1)The Perimeter of an isosceles triangle is 30cm.The length of its congruent sides is 3cm more than its base.Find the lengths of all sides.

2)Sum of two numbers is 97.If the greater number is divided by the smaller number,the quotient is 7 and the remainder is 1.Find the numbers

Plz solve both que. now....its vvv urgent

Answer 1

so let tje base be x
now the congruent sides will be x+3
perimeter is given =30
so
(x+3)+(x+3)+x=30
x+3+x+3+x=30
it becomes
3x+6=30
3x=30-6
3x=24
x=24/3
x=8

Answer 2

Answer: X=85,Y=12

Step-by-step explanation:

Let greater number be X and smaller number be y

According to first condition,

X + y =97.......(i)

We know that,

Dividend=

divisor×quotient+remainder

Therefore,

X=y×7+1

X=7y+1 .....(ii)

Putting value of equation 2 in equation 1

X+y=97

7y+1+y=97

8y+1=97

8y=97-1

8y=96

Y=96/8

Y=12.

Therefore,

X+y=97

X=97-12

X=85.