Explanation

a-b=9 square both sides

(a-b)2=9

(a-b)2=(9)2 

A2-B2-2ab=81

A2-B2-2(3)=81

A2-B2=81+6

A2-B2=87

Explanation

Explanation

Explanation

Percent Value: 60%

Number: 240

60% of 240...

... is equivalent to multiplying them:

60% × 240 = 144

Explanation

P is 5 time large as Q 

p=5q

q =p/5

The percentage that q is less than p=p-q/p*100

=(1-1/5)*100

=4/5*100=4*20

=80%

Explanation

Area= a+b/2* h

putting the values

Area= 54+45/2* 36

=99/2*36

=49.6*36

Area= 1782

Rate=2.5

1782*2.5=4455

Total expenditure=4455

Explanation

We know that th CP of 1 toffee =₹1/5

SP of 1 toffee = ₹1/2

Since SP is more than CP it's Gain

Gain=SP−CP

=1/2−1/5

=3/10

∴Gain%=(Gain×100)/CP

=((3/10)×100)/(1/5)

=150% 

Explanation

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 35 and 84 is 7

Divide both the numerator and denominator by the GCD

35 ÷ 7

84 ÷ 7

Reduced fraction: 

5

12

Therefore, 35/84 simplified to lowest terms is 5/12.

Explanation

A+B+C=395

B=A+25%(A) (or) C+20%(C)/ 

B=1.25A (or) 1.2C

subs one condition at a time 

2.25A+C=395 ................. eq 1 

A+2.2C=395...................... eq 2 

multiply eq 2 by 2.25 and subtracting with eq 1 

2.25A+C=395

2.25A+4.95C=888.75

−3.95C=−493.75

C=125

B=1.2(C)=1.2(125)=150

A=395−150−125=120

A=120

Explanation