## Jagdish is 3 years younger than Resham and Rajesh is 5 years older than Jagdish. If the product of present age of Resham and Rajesh is 960.H

Question

Jagdish is 3 years younger than Resham and Rajesh is 5 years older than Jagdish. If the product of present age of Resham and Rajesh is 960.How old is Jagdish?​

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3 days 2021-09-15T21:41:16+00:00 2 Answers 0

1. (x+3)(x+5)= 960

(x)(x)+(x)(5)+(3)(x)+(3)(5)= 960

x^2+5x+3x+15= 960

x^2+8x+15= 960

Moving 15 to the other side . Sign changes from +15 to -15

x^2+8x+15-15= 960-15

x^2+8x= 945

move 945 to the other side. changes from + 945 to -945

x^2+8x-945= 945-945

x^2+8x-945

(x+35)(x-27)=0

x+35-35= 0-35 moving 35 to the other side

x= -35

x-27= 0

x-27+27= 0+27 moving +27 to the other side

person CANNOT be a negative number for the age

Double Checking answer by using substitution method by using x=27

(x+3)(x+5)= 960

(27+3)(27+5)

(27)(27)+(27)(5)+(3)(27)+(3)(5)

729+135+81+15= 960

729+135+96= 960

960=960

Answer : Jagdish is 27 years old

2. Jagdish is 27 years old

Step-by-step explanation:

Jagdish=x

Resham=x+3

Rajesh=x+5

(x+3)(x+5) = 960

x²+8x+15=960

x²+8x=945

x²+8x-945=0

now factor this to solve

(x-27)=0 (x+35)=0

which means

x=27 and x=-35

obviously, we cannot have negative ages so we use x=27

so, Jagdish=27

Resham=30

Rajesh=32

and we can check this by doing 30×32 which does equal 960 so it is correct