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1. Finding 'x' in the given proportions :
a) The value of x is 2.
Given,
x : 7 = 120 : 420
=> x / 7 = 120 / 420
=> x = ( 7 × 120 ) / 420
=> x = 2
b) The value of x is 5.
Given,
8 : x = 80 : 50
=> 8 / x = 80 / 50
=> ( 8 × 50 ) / 80 = x
=> x = 5
2. Writing expressions for the given statements :
a) Seven less than a number t = t - 7
b) The product of 7 and a number n = 7 × n = 7n
c) Five more than twice a number b = 5 + 2b
d) Three times a number k is decreased by 11 = 3k - 11
3. Solving the given equation :
The value of h in the given equation is 37.
Given equation :
{ 3 + ( h - 10 ) } / 2 = 15
=> 3 + ( h - 10 ) = 2 × 15
=> 3 + ( h - 10 ) = 30
=> h - 10 = 30 - 3
=> h - 10 = 27
=> h = 27 + 10
=> h = 37
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