Question

pls help me these questions​

Answer 1

Step-by-step explanation:

13) have to find hcf of numbers after subtracting 6 from each as it gives 6 as remainder

615-6=609

963-6=957

hcf(609,957)=87

15)let the two numbers be x and x+1

x^2+(x+1)^2=365

x^2+x^2+2x+1=365

2x^2+2x+1=365

2x^2+2x=365-1=364

2(x^2+x)=364

x^2+x=364/2=182

x^2+x-182=0

by splitting middle term

x^2+14x-13x-182=0

x(x+14)-13(x+14)=0

(x+14)(x-13)=0

x= -14 or x=13

neglating -ve value

numbers are 13 and 14

16) numbers divisible by 8 between 200 and 500 are

208,216,224,.....,496

a=208 last=496 d=8 n=?

last=a+(n-1)d

496=208+(n-1)8

496-208=(n-1)8

288=(n-1)8

288/8=n-1

36=n-1

n=36+1=37

number of integers btn 200 and 500 divisible by 8 are 37