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7) Let one of the numbers be x.
The other number = 60-x (their sum is 60)
According to the question, 60-x-x = 10
(Thier difference is 10)
=>60-2x=10
=>2x=60-10=50
=>x=50/2=25
60-x=60-25=35
Thus, the two numbers are 25 and 35.
Their ratio = 25/35=5/7=5:7.
8) The three angles of a triangle are (x+10)°, (2x-15)° and (x+25)°.
Since the angles of a triangle add up to 180°,
x°+10°+2x°-15°+x°+25° = 180°
=>4x°+20°=180°
=>4x°=180°-20°=160°
=>x°=160°/4°=40°
Thus, the three angles are:
(x+10)°=(40+10)°=50°
(2x-15)°=(40×2-15)°=(80-15)°=65°
(x+25)°=(40+25)°=65°
It is noticed that two angles are equal.
Thus, the triangle is an (c) isosceles triangle.
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