Explanation

Find HCF of 408, 468, and 516

• Prime factorizations:

  • 408 = $2^3\cdot 3<br>$

  • 468 = $2^2 cdot 3 cdot 13$
    

  • 516 = $2^2\cdot 3\cdot 43$

Common: 2^2.3 = 4.3=12

Explanation

 24 is split into two parts such that 7 times the first plus 5 times the second is 146.

Let the first part be 

x, then the second is 

7x+5(24−x)=146

7x+120−5x=146

2x=26⇒x=13

Explanation

• Shahid is older than Ahmed, so Shahid > Ahmed.

• Ahmed is older than Fatima, so Ahmed > Fatima.

• Fatima is older than Bilal, so Fatima > Bilal.

Explanation

The series is just + 2 then * 2

3+2 = 5

5*2 = 10

10+2 = 12

12*2 = 24

24 +2 = 26

26*2= 52

Explanation

Digit 7 appears in both units and tens places.

Total count = 9 (units) + 9 (tens) + 1 (double 7 in 77)

= 19 + 1

= 20 times.